https://wiki.math.wisc.edu/api.php?action=feedcontributions&user=Clement&feedformat=atomUW-Math Wiki - User contributions [en]2024-03-29T15:00:35ZUser contributionsMediaWiki 1.39.5https://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=14543Graduate Algebraic Geometry Seminar Fall 20172017-11-14T23:02:20Z<p>Clement: /* December 13 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 3:30pm<br />
<br />
'''Where:'''Van Vleck B321 (Fall 2017)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' All undergraduate and graduate students interested in algebraic geometry, commutative algebra, and related fields are welcome to attend.<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry and commutative algebra by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth. Regardless the goal of GAGS is to provide a supportive and inclusive place for all to learn more about algebraic geometry and commutative algebra.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:juliette.bruce@math.wisc.edu Juliette], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Being an audience member ==<br />
The goal of GAGS is to create a safe and comfortable space inclusive of all who wish to expand their knowledge of algebraic geometry and commutative algebra. In order to promote such an environment in addition to the standard expectations of respect/kindness all participants are asked to following the following guidelines:<br />
* Do Not Speak For/Over the Speaker: <br />
* Ask Questions Appropriately: <br />
<br />
<br />
== Wish List ==<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
===Specifically Vague Topics===<br />
* D-modules 101: basics of D-modules, equivalence between left and right D-modules, pullbacks, pushforwards, maybe the Gauss-Manin Connection. Claude Sabbah's introduction to the subject could be a good place to start.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
===Famous Theorems===<br />
<br />
===Interesting Papers & Books===<br />
* ''Symplectic structure of the moduli space of sheaves on an abelian or K3 surface'' - Shigeru Mukai.<br />
<br />
* ''Residues and Duality'' - Robin Hatshorne.<br />
** Have you heard of Serre Duality? Would you like to really understand the nuts and bolts of it and its generalizations? If so this book is for you. (You wouldn't need to read the whole book to give a talk ;).)<br />
<br />
* ''Coherent sheaves on P^n and problems in linear algebra'' - A. A. Beilinson.<br />
** In this two page paper constructs the semi-orthogonal decomposition of the derived category of coherent sheaves on projective space. (This topic is very important, and there are a ton of other resources for this result and the general theory of derived categories.)<br />
<br />
* ''Frobenius splitting and cohomology vanishing for Schubert varieties'' - V.B. Mehta and A. Ramanathan.<br />
** In characteristic p the fact that (x+y)^p=x^p+y^p means that one has the Frobenius morphism, which sends f to f^p. In this paper the authors introduce the notion of what it means for a variety to be Frobenius split, and use this to prove certain cohomologcal vanishing results for Schubert varieties. Since then Frobenius splitting -- and its related cousins (F-regularity, strong F-regularity, F-purity, etc.) have played large roles in geometry and algebra in characteristic p. This is a good place to get a sense for what kicked all this stuff off! <br />
<br />
* ''Schubert Calculus'' - S. L. Kleiman and Dan Laksov.<br />
** An introduction to Schubert calculus suitable for those of all ages. I am told the paper essentially only uses linear algebra!<br />
<br />
* ''Rational Isogenies of Prime Degree'' - Barry Mazur.<br />
** In this paper Mazur classifies all isogenies of rational elliptic curves of prime order. As a result of this he deduces his famous result that the torsion subgroup of an elliptic curve (over Q) is one of 15 abelian groups. This definitely stares into the land of number theory, but certainly would still be of interest to many.<br />
<br />
* ''Esquisse d’une programme'' - Alexander Grothendieck.<br />
** Originating from a grant proposal in the mid 1980's this famous paper outlines a tantalizing research program, which seeks to tie numerous different areas of math (algebraic geometry, Teichmuller theory, Galois theory, etc.) together. This is where Grothendieck introduced his famous Lego game and dessin d'enfant. While just a research proposal this paper has seemingly inspired a ton of cool math, and will allow you to "blow peoples’ minds". (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Géométrie algébraique et géométrie analytique'' - J.P. Serre.<br />
** A projective variety X over the complex numbers has two lives, an algebraic and an analytic, depending on which topology one wishes to work with. That is one can think about X as a complex manifold and work with holomorphic functions or as an algebraic variety and work with regular functions. Hence to any complex projective variety we have two sheaf theories and as a result two cohomology theories. In this famous paper Serre compares these two and shows they are in fact the same. (''Note: This is a super fundamental result that is used all the time; normally in the following way: Uhh... What do you mean by cohomology? Well by GAGA or something it doesn't really mater.) (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Limit linear series: Basic theory''- David Eisenbud and Joe Harris.<br />
** One of the more profitable tools -- especially when studying moduli spaces -- in a geometers tool box is the theory of degenerations. However, sometimes we care about more than just the variety we are degenerating and want to keep track of things like vector/line bundles. In this paper Eisenbud and Harris develop the theory of degenerating a curve together with a linear series. From this they prove a ton of cool results: M_g is of general type for g>24, Brill-Noether theory, etc.<br />
<br />
* ''Picard Groups of Moduli Problems'' - David Mumford.<br />
** This paper is essentially the origin of algebraic stacks.<br />
<br />
* ''The Structure of Algebraic Threefolds: An Introduction to Mori's Program'' - Janos Kollar<br />
** This paper is an introduction to Mori's famous ``minimal model'' program, which is a far reaching program seeking to understand the birational geometry of higher dimensional varieties. <br />
<br />
* ''Cayley-Bacharach Formulas'' - Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels.<br />
** A classical result we all learn in a first semester of algebraic geometry is that 5 points in the plane (in general position) determine a unique plane conic. One can similarly show that 9 (general) points in the plane determine a unique plane cubic curve. This paper tries to answer the question: ``What is equation for this cubic curve?''.<br />
<br />
* ''On Varieties of Minimal Degree (A Centennial Approach)'' - David Eisenbud and Joe Harris.<br />
** Suppose X is a projective variety embedded in projective space so that X is not contained in any hyperplane. By projecting from general points one can see that the degree of X is at least codim(X)+1. This paper discusses the classification of varieties that achieve this lower degree bound i.e. varieties of minimal degree. This topic is quite classical and the paper seems to contain a nice mixture of classical and modern geometry.<br />
<br />
* ''The Gromov-Witten potential associated to a TCFT'' - Kevin J. Costello.<br />
** This seems incredibly interesting, but fairing warning this paper has been described as ''highly technical'', which considering it uses A-infinity algebras and the derived category of a Calabi-Yau seems like a reasonable description. (This paper may be covered in Caldararu's Spring 2017 topics course.)<br />
__NOTOC__<br />
<br />
== Fall 2017 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 13<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 13| Vector bundles over the projective line]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 20<br />
| bgcolor="#C6D46E"| No Talk<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 20 | Reflecting on signing up for a talk]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 27<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 27 | Vector bundles over an elliptic curve]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 4<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 4 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 11<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 11 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 18<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 18 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 25<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 25 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 1<br />
| bgcolor="#C6D46E"| Michael Brown<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 1 | A Theorem of Orlov]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 8<br />
| bgcolor="#C6D46E"| Michael Brown<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 8 | A Theorem or Orlov]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 15 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 22<br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 22 | No Seminar]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 29<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 29 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 6<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 6 | What about stacks? ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 13<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 14 | What about stacks? II ]] <br />
|}<br />
</center><br />
<br />
== September 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vector Bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Next week I will do an overview of Atiyah's classification of bundles on an elliptic curve. Today, I will talk about the tools needed to do this: cohomology of vector bundles. My goal is to keep a loose, islander, Ibizan pace where I will not define anything very rigorously, yet we will get our hands dirty with some computations, not all of which you have sat down and done before (if you have, what is your life? Why am I the one giving this talk?). Our aimless drift will hopefully get us to the much easier classification of vector bundles on the projective line, and we will have achieved the feat of using cohomology to prove a statement that doesn't contain the word cohomology! Flowery crowns are optional.<br />
|} <br />
</center><br />
<br />
== September 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No talk'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: You should sign up to give a talk<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== September 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vector bundles over an elliptic curve<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
We will regain our continental composture and discuss Atiyah's classification of bundles on an elliptic curve. There will be a ton of preliminary stuff, some lemmas, some theorems and some sketchy proofs. The sun will rise on the east and set on the west, and in the mean time we will learn all the isomorphism classes of vector bundles on an elliptic curve over any field.<br />
<br />
|} <br />
</center><br />
<br />
== October 4 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 11 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 18 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== November 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Michael Brown'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A theorem of Orlov<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss the main theorem of Orlov's "Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities". This very powerful theorem provides a comparison between the derived category of coherent sheaves on certain schemes and a related gadget called the "singularity category". Orlov's theorem recovers Beilinson's semiorthogonal decomposition of the bounded derived category of projective space as a special case.<br />
<br />
<br />
|} <br />
</center><br />
<br />
== November 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Michael Brown'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A Theorem of Orlov<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: This will be a continuation of the previous talk.<br />
<br />
|} <br />
</center><br />
<br />
== November 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== November 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Enjoy Thanksgiving!<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== November 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== December 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: What about stacks?<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== December 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: What about stacks? II<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~juliettebruce Juliette Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[https://www.math.wisc.edu/~moises Moisés Herradón Cueto]<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2017 Spring 2017]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Fall_2016 Fall 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=14542Graduate Algebraic Geometry Seminar Fall 20172017-11-14T23:01:59Z<p>Clement: /* December 6 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 3:30pm<br />
<br />
'''Where:'''Van Vleck B321 (Fall 2017)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' All undergraduate and graduate students interested in algebraic geometry, commutative algebra, and related fields are welcome to attend.<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry and commutative algebra by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth. Regardless the goal of GAGS is to provide a supportive and inclusive place for all to learn more about algebraic geometry and commutative algebra.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:juliette.bruce@math.wisc.edu Juliette], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Being an audience member ==<br />
The goal of GAGS is to create a safe and comfortable space inclusive of all who wish to expand their knowledge of algebraic geometry and commutative algebra. In order to promote such an environment in addition to the standard expectations of respect/kindness all participants are asked to following the following guidelines:<br />
* Do Not Speak For/Over the Speaker: <br />
* Ask Questions Appropriately: <br />
<br />
<br />
== Wish List ==<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
===Specifically Vague Topics===<br />
* D-modules 101: basics of D-modules, equivalence between left and right D-modules, pullbacks, pushforwards, maybe the Gauss-Manin Connection. Claude Sabbah's introduction to the subject could be a good place to start.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
===Famous Theorems===<br />
<br />
===Interesting Papers & Books===<br />
* ''Symplectic structure of the moduli space of sheaves on an abelian or K3 surface'' - Shigeru Mukai.<br />
<br />
* ''Residues and Duality'' - Robin Hatshorne.<br />
** Have you heard of Serre Duality? Would you like to really understand the nuts and bolts of it and its generalizations? If so this book is for you. (You wouldn't need to read the whole book to give a talk ;).)<br />
<br />
* ''Coherent sheaves on P^n and problems in linear algebra'' - A. A. Beilinson.<br />
** In this two page paper constructs the semi-orthogonal decomposition of the derived category of coherent sheaves on projective space. (This topic is very important, and there are a ton of other resources for this result and the general theory of derived categories.)<br />
<br />
* ''Frobenius splitting and cohomology vanishing for Schubert varieties'' - V.B. Mehta and A. Ramanathan.<br />
** In characteristic p the fact that (x+y)^p=x^p+y^p means that one has the Frobenius morphism, which sends f to f^p. In this paper the authors introduce the notion of what it means for a variety to be Frobenius split, and use this to prove certain cohomologcal vanishing results for Schubert varieties. Since then Frobenius splitting -- and its related cousins (F-regularity, strong F-regularity, F-purity, etc.) have played large roles in geometry and algebra in characteristic p. This is a good place to get a sense for what kicked all this stuff off! <br />
<br />
* ''Schubert Calculus'' - S. L. Kleiman and Dan Laksov.<br />
** An introduction to Schubert calculus suitable for those of all ages. I am told the paper essentially only uses linear algebra!<br />
<br />
* ''Rational Isogenies of Prime Degree'' - Barry Mazur.<br />
** In this paper Mazur classifies all isogenies of rational elliptic curves of prime order. As a result of this he deduces his famous result that the torsion subgroup of an elliptic curve (over Q) is one of 15 abelian groups. This definitely stares into the land of number theory, but certainly would still be of interest to many.<br />
<br />
* ''Esquisse d’une programme'' - Alexander Grothendieck.<br />
** Originating from a grant proposal in the mid 1980's this famous paper outlines a tantalizing research program, which seeks to tie numerous different areas of math (algebraic geometry, Teichmuller theory, Galois theory, etc.) together. This is where Grothendieck introduced his famous Lego game and dessin d'enfant. While just a research proposal this paper has seemingly inspired a ton of cool math, and will allow you to "blow peoples’ minds". (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Géométrie algébraique et géométrie analytique'' - J.P. Serre.<br />
** A projective variety X over the complex numbers has two lives, an algebraic and an analytic, depending on which topology one wishes to work with. That is one can think about X as a complex manifold and work with holomorphic functions or as an algebraic variety and work with regular functions. Hence to any complex projective variety we have two sheaf theories and as a result two cohomology theories. In this famous paper Serre compares these two and shows they are in fact the same. (''Note: This is a super fundamental result that is used all the time; normally in the following way: Uhh... What do you mean by cohomology? Well by GAGA or something it doesn't really mater.) (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Limit linear series: Basic theory''- David Eisenbud and Joe Harris.<br />
** One of the more profitable tools -- especially when studying moduli spaces -- in a geometers tool box is the theory of degenerations. However, sometimes we care about more than just the variety we are degenerating and want to keep track of things like vector/line bundles. In this paper Eisenbud and Harris develop the theory of degenerating a curve together with a linear series. From this they prove a ton of cool results: M_g is of general type for g>24, Brill-Noether theory, etc.<br />
<br />
* ''Picard Groups of Moduli Problems'' - David Mumford.<br />
** This paper is essentially the origin of algebraic stacks.<br />
<br />
* ''The Structure of Algebraic Threefolds: An Introduction to Mori's Program'' - Janos Kollar<br />
** This paper is an introduction to Mori's famous ``minimal model'' program, which is a far reaching program seeking to understand the birational geometry of higher dimensional varieties. <br />
<br />
* ''Cayley-Bacharach Formulas'' - Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels.<br />
** A classical result we all learn in a first semester of algebraic geometry is that 5 points in the plane (in general position) determine a unique plane conic. One can similarly show that 9 (general) points in the plane determine a unique plane cubic curve. This paper tries to answer the question: ``What is equation for this cubic curve?''.<br />
<br />
* ''On Varieties of Minimal Degree (A Centennial Approach)'' - David Eisenbud and Joe Harris.<br />
** Suppose X is a projective variety embedded in projective space so that X is not contained in any hyperplane. By projecting from general points one can see that the degree of X is at least codim(X)+1. This paper discusses the classification of varieties that achieve this lower degree bound i.e. varieties of minimal degree. This topic is quite classical and the paper seems to contain a nice mixture of classical and modern geometry.<br />
<br />
* ''The Gromov-Witten potential associated to a TCFT'' - Kevin J. Costello.<br />
** This seems incredibly interesting, but fairing warning this paper has been described as ''highly technical'', which considering it uses A-infinity algebras and the derived category of a Calabi-Yau seems like a reasonable description. (This paper may be covered in Caldararu's Spring 2017 topics course.)<br />
__NOTOC__<br />
<br />
== Fall 2017 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 13<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 13| Vector bundles over the projective line]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 20<br />
| bgcolor="#C6D46E"| No Talk<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 20 | Reflecting on signing up for a talk]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 27<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 27 | Vector bundles over an elliptic curve]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 4<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 4 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 11<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 11 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 18<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 18 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 25<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 25 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 1<br />
| bgcolor="#C6D46E"| Michael Brown<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 1 | A Theorem of Orlov]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 8<br />
| bgcolor="#C6D46E"| Michael Brown<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 8 | A Theorem or Orlov]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 15 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 22<br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 22 | No Seminar]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 29<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 29 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 6<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 6 | What about stacks? ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 13<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 14 | What about stacks? II ]] <br />
|}<br />
</center><br />
<br />
== September 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vector Bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Next week I will do an overview of Atiyah's classification of bundles on an elliptic curve. Today, I will talk about the tools needed to do this: cohomology of vector bundles. My goal is to keep a loose, islander, Ibizan pace where I will not define anything very rigorously, yet we will get our hands dirty with some computations, not all of which you have sat down and done before (if you have, what is your life? Why am I the one giving this talk?). Our aimless drift will hopefully get us to the much easier classification of vector bundles on the projective line, and we will have achieved the feat of using cohomology to prove a statement that doesn't contain the word cohomology! Flowery crowns are optional.<br />
|} <br />
</center><br />
<br />
== September 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No talk'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: You should sign up to give a talk<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== September 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vector bundles over an elliptic curve<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
We will regain our continental composture and discuss Atiyah's classification of bundles on an elliptic curve. There will be a ton of preliminary stuff, some lemmas, some theorems and some sketchy proofs. The sun will rise on the east and set on the west, and in the mean time we will learn all the isomorphism classes of vector bundles on an elliptic curve over any field.<br />
<br />
|} <br />
</center><br />
<br />
== October 4 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 11 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 18 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== November 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Michael Brown'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A theorem of Orlov<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss the main theorem of Orlov's "Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities". This very powerful theorem provides a comparison between the derived category of coherent sheaves on certain schemes and a related gadget called the "singularity category". Orlov's theorem recovers Beilinson's semiorthogonal decomposition of the bounded derived category of projective space as a special case.<br />
<br />
<br />
|} <br />
</center><br />
<br />
== November 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Michael Brown'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A Theorem of Orlov<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: This will be a continuation of the previous talk.<br />
<br />
|} <br />
</center><br />
<br />
== November 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== November 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Enjoy Thanksgiving!<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== November 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== December 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: What about stacks?<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== December 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~juliettebruce Juliette Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[https://www.math.wisc.edu/~moises Moisés Herradón Cueto]<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2017 Spring 2017]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Fall_2016 Fall 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=14541Graduate Algebraic Geometry Seminar Fall 20172017-11-14T23:00:53Z<p>Clement: /* Fall 2017 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 3:30pm<br />
<br />
'''Where:'''Van Vleck B321 (Fall 2017)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' All undergraduate and graduate students interested in algebraic geometry, commutative algebra, and related fields are welcome to attend.<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry and commutative algebra by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth. Regardless the goal of GAGS is to provide a supportive and inclusive place for all to learn more about algebraic geometry and commutative algebra.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:juliette.bruce@math.wisc.edu Juliette], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Being an audience member ==<br />
The goal of GAGS is to create a safe and comfortable space inclusive of all who wish to expand their knowledge of algebraic geometry and commutative algebra. In order to promote such an environment in addition to the standard expectations of respect/kindness all participants are asked to following the following guidelines:<br />
* Do Not Speak For/Over the Speaker: <br />
* Ask Questions Appropriately: <br />
<br />
<br />
== Wish List ==<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
===Specifically Vague Topics===<br />
* D-modules 101: basics of D-modules, equivalence between left and right D-modules, pullbacks, pushforwards, maybe the Gauss-Manin Connection. Claude Sabbah's introduction to the subject could be a good place to start.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
===Famous Theorems===<br />
<br />
===Interesting Papers & Books===<br />
* ''Symplectic structure of the moduli space of sheaves on an abelian or K3 surface'' - Shigeru Mukai.<br />
<br />
* ''Residues and Duality'' - Robin Hatshorne.<br />
** Have you heard of Serre Duality? Would you like to really understand the nuts and bolts of it and its generalizations? If so this book is for you. (You wouldn't need to read the whole book to give a talk ;).)<br />
<br />
* ''Coherent sheaves on P^n and problems in linear algebra'' - A. A. Beilinson.<br />
** In this two page paper constructs the semi-orthogonal decomposition of the derived category of coherent sheaves on projective space. (This topic is very important, and there are a ton of other resources for this result and the general theory of derived categories.)<br />
<br />
* ''Frobenius splitting and cohomology vanishing for Schubert varieties'' - V.B. Mehta and A. Ramanathan.<br />
** In characteristic p the fact that (x+y)^p=x^p+y^p means that one has the Frobenius morphism, which sends f to f^p. In this paper the authors introduce the notion of what it means for a variety to be Frobenius split, and use this to prove certain cohomologcal vanishing results for Schubert varieties. Since then Frobenius splitting -- and its related cousins (F-regularity, strong F-regularity, F-purity, etc.) have played large roles in geometry and algebra in characteristic p. This is a good place to get a sense for what kicked all this stuff off! <br />
<br />
* ''Schubert Calculus'' - S. L. Kleiman and Dan Laksov.<br />
** An introduction to Schubert calculus suitable for those of all ages. I am told the paper essentially only uses linear algebra!<br />
<br />
* ''Rational Isogenies of Prime Degree'' - Barry Mazur.<br />
** In this paper Mazur classifies all isogenies of rational elliptic curves of prime order. As a result of this he deduces his famous result that the torsion subgroup of an elliptic curve (over Q) is one of 15 abelian groups. This definitely stares into the land of number theory, but certainly would still be of interest to many.<br />
<br />
* ''Esquisse d’une programme'' - Alexander Grothendieck.<br />
** Originating from a grant proposal in the mid 1980's this famous paper outlines a tantalizing research program, which seeks to tie numerous different areas of math (algebraic geometry, Teichmuller theory, Galois theory, etc.) together. This is where Grothendieck introduced his famous Lego game and dessin d'enfant. While just a research proposal this paper has seemingly inspired a ton of cool math, and will allow you to "blow peoples’ minds". (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Géométrie algébraique et géométrie analytique'' - J.P. Serre.<br />
** A projective variety X over the complex numbers has two lives, an algebraic and an analytic, depending on which topology one wishes to work with. That is one can think about X as a complex manifold and work with holomorphic functions or as an algebraic variety and work with regular functions. Hence to any complex projective variety we have two sheaf theories and as a result two cohomology theories. In this famous paper Serre compares these two and shows they are in fact the same. (''Note: This is a super fundamental result that is used all the time; normally in the following way: Uhh... What do you mean by cohomology? Well by GAGA or something it doesn't really mater.) (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Limit linear series: Basic theory''- David Eisenbud and Joe Harris.<br />
** One of the more profitable tools -- especially when studying moduli spaces -- in a geometers tool box is the theory of degenerations. However, sometimes we care about more than just the variety we are degenerating and want to keep track of things like vector/line bundles. In this paper Eisenbud and Harris develop the theory of degenerating a curve together with a linear series. From this they prove a ton of cool results: M_g is of general type for g>24, Brill-Noether theory, etc.<br />
<br />
* ''Picard Groups of Moduli Problems'' - David Mumford.<br />
** This paper is essentially the origin of algebraic stacks.<br />
<br />
* ''The Structure of Algebraic Threefolds: An Introduction to Mori's Program'' - Janos Kollar<br />
** This paper is an introduction to Mori's famous ``minimal model'' program, which is a far reaching program seeking to understand the birational geometry of higher dimensional varieties. <br />
<br />
* ''Cayley-Bacharach Formulas'' - Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels.<br />
** A classical result we all learn in a first semester of algebraic geometry is that 5 points in the plane (in general position) determine a unique plane conic. One can similarly show that 9 (general) points in the plane determine a unique plane cubic curve. This paper tries to answer the question: ``What is equation for this cubic curve?''.<br />
<br />
* ''On Varieties of Minimal Degree (A Centennial Approach)'' - David Eisenbud and Joe Harris.<br />
** Suppose X is a projective variety embedded in projective space so that X is not contained in any hyperplane. By projecting from general points one can see that the degree of X is at least codim(X)+1. This paper discusses the classification of varieties that achieve this lower degree bound i.e. varieties of minimal degree. This topic is quite classical and the paper seems to contain a nice mixture of classical and modern geometry.<br />
<br />
* ''The Gromov-Witten potential associated to a TCFT'' - Kevin J. Costello.<br />
** This seems incredibly interesting, but fairing warning this paper has been described as ''highly technical'', which considering it uses A-infinity algebras and the derived category of a Calabi-Yau seems like a reasonable description. (This paper may be covered in Caldararu's Spring 2017 topics course.)<br />
__NOTOC__<br />
<br />
== Fall 2017 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 13<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 13| Vector bundles over the projective line]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 20<br />
| bgcolor="#C6D46E"| No Talk<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 20 | Reflecting on signing up for a talk]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 27<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 27 | Vector bundles over an elliptic curve]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 4<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 4 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 11<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 11 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 18<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 18 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 25<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 25 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 1<br />
| bgcolor="#C6D46E"| Michael Brown<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 1 | A Theorem of Orlov]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 8<br />
| bgcolor="#C6D46E"| Michael Brown<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 8 | A Theorem or Orlov]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 15 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 22<br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 22 | No Seminar]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 29<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 29 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 6<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 6 | What about stacks? ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 13<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 14 | What about stacks? II ]] <br />
|}<br />
</center><br />
<br />
== September 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vector Bundles over the projective line<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Next week I will do an overview of Atiyah's classification of bundles on an elliptic curve. Today, I will talk about the tools needed to do this: cohomology of vector bundles. My goal is to keep a loose, islander, Ibizan pace where I will not define anything very rigorously, yet we will get our hands dirty with some computations, not all of which you have sat down and done before (if you have, what is your life? Why am I the one giving this talk?). Our aimless drift will hopefully get us to the much easier classification of vector bundles on the projective line, and we will have achieved the feat of using cohomology to prove a statement that doesn't contain the word cohomology! Flowery crowns are optional.<br />
|} <br />
</center><br />
<br />
== September 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No talk'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: You should sign up to give a talk<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== September 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vector bundles over an elliptic curve<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
We will regain our continental composture and discuss Atiyah's classification of bundles on an elliptic curve. There will be a ton of preliminary stuff, some lemmas, some theorems and some sketchy proofs. The sun will rise on the east and set on the west, and in the mean time we will learn all the isomorphism classes of vector bundles on an elliptic curve over any field.<br />
<br />
|} <br />
</center><br />
<br />
== October 4 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 11 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 18 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== October 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== November 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Michael Brown'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A theorem of Orlov<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will discuss the main theorem of Orlov's "Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities". This very powerful theorem provides a comparison between the derived category of coherent sheaves on certain schemes and a related gadget called the "singularity category". Orlov's theorem recovers Beilinson's semiorthogonal decomposition of the bounded derived category of projective space as a special case.<br />
<br />
<br />
|} <br />
</center><br />
<br />
== November 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Michael Brown'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A Theorem of Orlov<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: This will be a continuation of the previous talk.<br />
<br />
|} <br />
</center><br />
<br />
== November 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== November 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Enjoy Thanksgiving!<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== November 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== December 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
<br />
TBD<br />
<br />
|} <br />
</center><br />
<br />
== December 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~juliettebruce Juliette Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[https://www.math.wisc.edu/~moises Moisés Herradón Cueto]<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2017 Spring 2017]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Fall_2016 Fall 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2017&diff=13406Algebraic Geometry Seminar Spring 20172017-02-22T00:26:39Z<p>Clement: /* Nathan Clement */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B113.<br />
<br />
Here is the schedule for [[Algebraic Geometry Seminar Fall 2016 | the previous semester]].<br />
<!--and for [[Algebraic Geometry Seminar Spring 2017 | the next semester]].---><br />
<!-- and for [[Algebraic Geometry Seminar | this semester]].---><br />
<br />
==Algebraic Geometry Mailing List==<br />
<br />
<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
== Spring 2017 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
|-<br />
|January 20<br />
|[http://math.mit.edu/~sraskin/ Sam Raskin (MIT)] <br />
|[[#Sam Raskin|W-algebras and Whittaker categories]]<br />
|Dima<br />
|-<br />
|January 27<br />
|[http://math.uchicago.edu/~nks/ Nick Salter (U Chicago)] <br />
|[[#Nick Salter|Mapping class groups and the monodromy of some families of algebraic curves]]<br />
|Jordan<br />
|-<br />
|March 3<br />
|[http://www.math.wisc.edu/~laudone/ Robert Laudone (UW Madison)]<br />
|[[#Robert Laudone|The Spin-Brauer diagram algebra]]<br />
|local (Steven)<br />
|-<br />
|March 10<br />
|[http://www.math.wisc.edu/~clement/ Nathan Clement (UW Madison)]<br />
|[[#Nathan Clement|Parabolic Higgs bundles and the Poincare line bundle]]<br />
|local<br />
|-<br />
|March 17<br />
|[http://www.math.wisc.edu/~hhuang235/ Amy Huang (UW Madison)]<br />
|[[#Amy Huang|TBA]]<br />
|local (Steven)<br />
|-<br />
|March 31<br />
|[http://www.perimeterinstitute.ca/people/jie-zhou Jie Zhou (Perimeter Institute)] <br />
|[[#Jie Zhou|TBA]]<br />
|Andrei<br />
|-<br />
|April 7<br />
|[https://www2.warwick.ac.uk/fac/sci/maths/people/staff/vladimir_dokchitser/ Vladimir Dokchitser (Warwick)] <br />
|TBA<br />
|Jordan<br />
<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Sam Raskin===<br />
<br />
'''W-algebras and Whittaker categories'''<br />
<br />
Affine W-algebras are a somewhat complicated family of (topological) associative algebras associated with a semisimple Lie algebra, quantizing functions on the algebraic loop space of Kostant's slice. They have attracted a great deal of attention because of Feigin-Frenkel's duality theorem for them, which identifies W-algebras for a Lie algebra and for its Langlands dual through a subtle construction.<br />
<br />
The purpose of this talk is threefold: 1) to introduce a ``stratification" of the category of modules for the affine W-algebra, 2) to prove an analogue of Skryabin's equivalence in this setting, realizing the categoryof (discrete) modules over the W-algebra in a more natural way, and 3) to explain how these constructions help understand Whittaker categories in the more general setting of local geometric Langlands. These three points all rest on the same geometric observation, which provides a family of affine analogues of Bezrukavnikov-Braverman-Mirkovic. These results lead to a new understanding of the exactness properties of the quantum Drinfeld-Sokolov functor.<br />
<br />
===Nick Salter===<br />
<br />
'''Mapping class groups and the monodromy of some families of algebraic curves'''<br />
<br />
In this talk we will be concerned with some topological questions arising in the study of families of smooth complex algebraic curves. Associated to any such family is a monodromy representation valued in the mapping class group of the underlying topological surface. The induced action on the cohomology of the fiber has been studied for decades- the more refined topological monodromy is largely unexplored. In this talk, I will discuss some theorems concerning the topological monodromy groups of families of smooth plane curves, as well as families of curves in CP^1 x CP^1. This will involve a blend of algebraic geometry, singularity theory, and the mapping class group, particularly the Torelli subgroup.<br />
<br />
===Robert Laudone===<br />
<br />
'''The Spin-Brauer diagram algebra'''<br />
<br />
Schur-Weyl duality is an important result in representation theory which states that the actions of <math>\mathfrak{S}_n</math> and <math>\mathbf{GL}(N)</math> on <math>\mathbf{V}^{\otimes n}</math> generate each others' commutants. Here <math>\mathfrak{S}_n</math> is the symmetric group and <math>\mathbf{V}</math> is the standard complex representation. In this talk, we investigate the Spin-Brauer diagram algebra, which arises from studying an analogous form of Schur-Weyl duality for the action of the spinor group on <math>\mathbf{V}^{\otimes n} \otimes \Delta</math>. Here <math>\mathbf{V}</math> is again the standard <math>N</math>-dimensional complex representation of <math>{\rm Pin}(N)</math> and <math>\Delta</math> is the spin representation. We will give a general construction of the Spin-Brauer diagram algebra, discuss its connection to <math>{\rm End}_{{\rm Pin}(N)}(V^{\otimes n} \otimes \Delta)</math> and time permitting we will mention some interesting properties of the algebra, in particular its cellularity.<br />
<br />
===Nathan Clement===<br />
<br />
'''Parabolic Higgs bundles and the Poincare line bundle'''<br />
<br />
We work with some moduli spaces of (parabolic) Higgs bundles which come in infinite families indexed by rank.<br />
I'll give some motivation for the study of parabolic Higgs bundles, but the main problem will be to describe the moduli spaces.<br />
By applying some integral transforms, most importantly the Fourier-Mukai transform associated to the Poincare line bundle, we are able to reduce the rank of the problem and eventually get a good presentation of the moduli spaces.<br />
One fun technique involved in the argument deals with the spectrum of a one-parameter family of linear operators.<br />
When such an operator degenerates to one that is diagonalizable with repeated eigenvalues, the spectrum of the operator admits a scheme-theoretic refinement in a certain blowup which carries more information than simply the eigenvalues with multiplicity.</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2017&diff=13405Algebraic Geometry Seminar Spring 20172017-02-21T23:33:07Z<p>Clement: /* Abstracts */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B113.<br />
<br />
Here is the schedule for [[Algebraic Geometry Seminar Fall 2016 | the previous semester]].<br />
<!--and for [[Algebraic Geometry Seminar Spring 2017 | the next semester]].---><br />
<!-- and for [[Algebraic Geometry Seminar | this semester]].---><br />
<br />
==Algebraic Geometry Mailing List==<br />
<br />
<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
== Spring 2017 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
|-<br />
|January 20<br />
|[http://math.mit.edu/~sraskin/ Sam Raskin (MIT)] <br />
|[[#Sam Raskin|W-algebras and Whittaker categories]]<br />
|Dima<br />
|-<br />
|January 27<br />
|[http://math.uchicago.edu/~nks/ Nick Salter (U Chicago)] <br />
|[[#Nick Salter|Mapping class groups and the monodromy of some families of algebraic curves]]<br />
|Jordan<br />
|-<br />
|March 3<br />
|[http://www.math.wisc.edu/~laudone/ Robert Laudone (UW Madison)]<br />
|[[#Robert Laudone|The Spin-Brauer diagram algebra]]<br />
|local (Steven)<br />
|-<br />
|March 10<br />
|[http://www.math.wisc.edu/~clement/ Nathan Clement (UW Madison)]<br />
|[[#Nathan Clement|Parabolic Higgs bundles and the Poincare line bundle]]<br />
|local<br />
|-<br />
|March 17<br />
|[http://www.math.wisc.edu/~hhuang235/ Amy Huang (UW Madison)]<br />
|[[#Amy Huang|TBA]]<br />
|local (Steven)<br />
|-<br />
|March 31<br />
|[http://www.perimeterinstitute.ca/people/jie-zhou Jie Zhou (Perimeter Institute)] <br />
|[[#Jie Zhou|TBA]]<br />
|Andrei<br />
|-<br />
|April 7<br />
|[https://www2.warwick.ac.uk/fac/sci/maths/people/staff/vladimir_dokchitser/ Vladimir Dokchitser (Warwick)] <br />
|TBA<br />
|Jordan<br />
<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Sam Raskin===<br />
<br />
'''W-algebras and Whittaker categories'''<br />
<br />
Affine W-algebras are a somewhat complicated family of (topological) associative algebras associated with a semisimple Lie algebra, quantizing functions on the algebraic loop space of Kostant's slice. They have attracted a great deal of attention because of Feigin-Frenkel's duality theorem for them, which identifies W-algebras for a Lie algebra and for its Langlands dual through a subtle construction.<br />
<br />
The purpose of this talk is threefold: 1) to introduce a ``stratification" of the category of modules for the affine W-algebra, 2) to prove an analogue of Skryabin's equivalence in this setting, realizing the categoryof (discrete) modules over the W-algebra in a more natural way, and 3) to explain how these constructions help understand Whittaker categories in the more general setting of local geometric Langlands. These three points all rest on the same geometric observation, which provides a family of affine analogues of Bezrukavnikov-Braverman-Mirkovic. These results lead to a new understanding of the exactness properties of the quantum Drinfeld-Sokolov functor.<br />
<br />
===Nick Salter===<br />
<br />
'''Mapping class groups and the monodromy of some families of algebraic curves'''<br />
<br />
In this talk we will be concerned with some topological questions arising in the study of families of smooth complex algebraic curves. Associated to any such family is a monodromy representation valued in the mapping class group of the underlying topological surface. The induced action on the cohomology of the fiber has been studied for decades- the more refined topological monodromy is largely unexplored. In this talk, I will discuss some theorems concerning the topological monodromy groups of families of smooth plane curves, as well as families of curves in CP^1 x CP^1. This will involve a blend of algebraic geometry, singularity theory, and the mapping class group, particularly the Torelli subgroup.<br />
<br />
===Robert Laudone===<br />
<br />
'''The Spin-Brauer diagram algebra'''<br />
<br />
Schur-Weyl duality is an important result in representation theory which states that the actions of <math>\mathfrak{S}_n</math> and <math>\mathbf{GL}(N)</math> on <math>\mathbf{V}^{\otimes n}</math> generate each others' commutants. Here <math>\mathfrak{S}_n</math> is the symmetric group and <math>\mathbf{V}</math> is the standard complex representation. In this talk, we investigate the Spin-Brauer diagram algebra, which arises from studying an analogous form of Schur-Weyl duality for the action of the spinor group on <math>\mathbf{V}^{\otimes n} \otimes \Delta</math>. Here <math>\mathbf{V}</math> is again the standard <math>N</math>-dimensional complex representation of <math>{\rm Pin}(N)</math> and <math>\Delta</math> is the spin representation. We will give a general construction of the Spin-Brauer diagram algebra, discuss its connection to <math>{\rm End}_{{\rm Pin}(N)}(V^{\otimes n} \otimes \Delta)</math> and time permitting we will mention some interesting properties of the algebra, in particular its cellularity.<br />
<br />
===Nathan Clement===<br />
<br />
'''Parabolic Higgs bundles and the Poincare line bundle'''</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Algebraic_Geometry_Seminar_Spring_2017&diff=13404Algebraic Geometry Seminar Spring 20172017-02-21T23:20:37Z<p>Clement: /* Spring 2017 Schedule */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in Van Vleck B113.<br />
<br />
Here is the schedule for [[Algebraic Geometry Seminar Fall 2016 | the previous semester]].<br />
<!--and for [[Algebraic Geometry Seminar Spring 2017 | the next semester]].---><br />
<!-- and for [[Algebraic Geometry Seminar | this semester]].---><br />
<br />
==Algebraic Geometry Mailing List==<br />
<br />
<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
== Spring 2017 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
|-<br />
|January 20<br />
|[http://math.mit.edu/~sraskin/ Sam Raskin (MIT)] <br />
|[[#Sam Raskin|W-algebras and Whittaker categories]]<br />
|Dima<br />
|-<br />
|January 27<br />
|[http://math.uchicago.edu/~nks/ Nick Salter (U Chicago)] <br />
|[[#Nick Salter|Mapping class groups and the monodromy of some families of algebraic curves]]<br />
|Jordan<br />
|-<br />
|March 3<br />
|[http://www.math.wisc.edu/~laudone/ Robert Laudone (UW Madison)]<br />
|[[#Robert Laudone|The Spin-Brauer diagram algebra]]<br />
|local (Steven)<br />
|-<br />
|March 10<br />
|[http://www.math.wisc.edu/~clement/ Nathan Clement (UW Madison)]<br />
|[[#Nathan Clement|Parabolic Higgs bundles and the Poincare line bundle]]<br />
|local<br />
|-<br />
|March 17<br />
|[http://www.math.wisc.edu/~hhuang235/ Amy Huang (UW Madison)]<br />
|[[#Amy Huang|TBA]]<br />
|local (Steven)<br />
|-<br />
|March 31<br />
|[http://www.perimeterinstitute.ca/people/jie-zhou Jie Zhou (Perimeter Institute)] <br />
|[[#Jie Zhou|TBA]]<br />
|Andrei<br />
|-<br />
|April 7<br />
|[https://www2.warwick.ac.uk/fac/sci/maths/people/staff/vladimir_dokchitser/ Vladimir Dokchitser (Warwick)] <br />
|TBA<br />
|Jordan<br />
<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
===Sam Raskin===<br />
<br />
'''W-algebras and Whittaker categories'''<br />
<br />
Affine W-algebras are a somewhat complicated family of (topological) associative algebras associated with a semisimple Lie algebra, quantizing functions on the algebraic loop space of Kostant's slice. They have attracted a great deal of attention because of Feigin-Frenkel's duality theorem for them, which identifies W-algebras for a Lie algebra and for its Langlands dual through a subtle construction.<br />
<br />
The purpose of this talk is threefold: 1) to introduce a ``stratification" of the category of modules for the affine W-algebra, 2) to prove an analogue of Skryabin's equivalence in this setting, realizing the categoryof (discrete) modules over the W-algebra in a more natural way, and 3) to explain how these constructions help understand Whittaker categories in the more general setting of local geometric Langlands. These three points all rest on the same geometric observation, which provides a family of affine analogues of Bezrukavnikov-Braverman-Mirkovic. These results lead to a new understanding of the exactness properties of the quantum Drinfeld-Sokolov functor.<br />
<br />
===Nick Salter===<br />
<br />
'''Mapping class groups and the monodromy of some families of algebraic curves'''<br />
<br />
In this talk we will be concerned with some topological questions arising in the study of families of smooth complex algebraic curves. Associated to any such family is a monodromy representation valued in the mapping class group of the underlying topological surface. The induced action on the cohomology of the fiber has been studied for decades- the more refined topological monodromy is largely unexplored. In this talk, I will discuss some theorems concerning the topological monodromy groups of families of smooth plane curves, as well as families of curves in CP^1 x CP^1. This will involve a blend of algebraic geometry, singularity theory, and the mapping class group, particularly the Torelli subgroup.<br />
<br />
===Robert Laudone===<br />
<br />
'''The Spin-Brauer diagram algebra'''<br />
<br />
Schur-Weyl duality is an important result in representation theory which states that the actions of <math>\mathfrak{S}_n</math> and <math>\mathbf{GL}(N)</math> on <math>\mathbf{V}^{\otimes n}</math> generate each others' commutants. Here <math>\mathfrak{S}_n</math> is the symmetric group and <math>\mathbf{V}</math> is the standard complex representation. In this talk, we investigate the Spin-Brauer diagram algebra, which arises from studying an analogous form of Schur-Weyl duality for the action of the spinor group on <math>\mathbf{V}^{\otimes n} \otimes \Delta</math>. Here <math>\mathbf{V}</math> is again the standard <math>N</math>-dimensional complex representation of <math>{\rm Pin}(N)</math> and <math>\Delta</math> is the spin representation. We will give a general construction of the Spin-Brauer diagram algebra, discuss its connection to <math>{\rm End}_{{\rm Pin}(N)}(V^{\otimes n} \otimes \Delta)</math> and time permitting we will mention some interesting properties of the algebra, in particular its cellularity.</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=13112Graduate Algebraic Geometry Seminar Fall 20172017-01-23T23:21:06Z<p>Clement: /* Spring 2017 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B321 (Spring 2017)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
===Specifically Vague Topics===<br />
* D-modules 101: basics of D-modules, equivalence between left and right D-modules, pullbacks, pushforwards, maybe the Gauss-Manin Connection. Claude Sabbah's introduction to the subject could be a good place to start.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
===Famous Theorems===<br />
<br />
===Interesting Papers & Books===<br />
* ''Symplectic structure of the moduli space of sheaves on an abelian or K3 surface'' - Shigeru Mukai.<br />
<br />
* ''Residues and Duality'' - Robin Hatshorne.<br />
** Have you heard of Serre Duality? Would you like to really understand the nuts and bolts of it and its generalizations? If so this book is for you. (You wouldn't need to read the whole book to give a talk ;).)<br />
<br />
* ''Coherent sheaves on P^n and problems in linear algebra'' - A. A. Beilinson.<br />
** In this two page paper constructs the semi-orthogonal decomposition of the derived category of coherent sheaves on projective space. (This topic is very important, and there are a ton of other resources for this result and the general theory of derived categories.)<br />
<br />
* ''Frobenius splitting and cohomology vanishing for Schubert varieties'' - V.B. Mehta and A. Ramanathan.<br />
** In characteristic p the fact that (x+y)^p=x^p+y^p means that one has the Frobenius morphism, which sends f to f^p. In this paper the authors introduce the notion of what it means for a variety to be Frobenius split, and use this to prove certain cohomologcal vanishing results for Schubert varieties. Since then Frobenius splitting -- and its related cousins (F-regularity, strong F-regularity, F-purity, etc.) have played large roles in geometry and algebra in characteristic p. This is a good place to get a sense for what kicked all this stuff off! <br />
<br />
* ''Schubert Calculus'' - S. L. Kleiman and Dan Laksov.<br />
** An introduction to Schubert calculus suitable for those of all ages. I am told the paper essentially only uses linear algebra!<br />
<br />
* ''Rational Isogenies of Prime Degree'' - Barry Mazur.<br />
** In this paper Mazur classifies all isogenies of rational elliptic curves of prime order. As a result of this he deduces his famous result that the torsion subgroup of an elliptic curve (over Q) is one of 15 abelian groups. This definitely stares into the land of number theory, but certainly would still be of interest to many.<br />
<br />
* ''Esquisse d’une programme'' - Alexander Grothendieck.<br />
** Originating from a grant proposal in the mid 1980's this famous paper outlines a tantalizing research program, which seeks to tie numerous different areas of math (algebraic geometry, Teichmuller theory, Galois theory, etc.) together. This is where Grothendieck introduced his famous Lego game and dessin d'enfant. While just a research proposal this paper has seemingly inspired a ton of cool math, and will allow you to "blow peoples’ minds". (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Géométrie algébraique et géométrie analytique'' - J.P. Serre.<br />
** A projective variety X over the complex numbers has two lives, an algebraic and an analytic, depending on which topology one wishes to work with. That is one can think about X as a complex manifold and work with holomorphic functions or as an algebraic variety and work with regular functions. Hence to any complex projective variety we have two sheaf theories and as a result two cohomology theories. In this famous paper Serre compares these two and shows they are in fact the same. (''Note: This is a super fundamental result that is used all the time; normally in the following way: Uhh... What do you mean by cohomology? Well by GAGA or something it doesn't really mater.) (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Limit linear series: Basic theory''- David Eisenbud and Joe Harris.<br />
** One of the more profitable tools -- especially when studying moduli spaces -- in a geometers tool box is the theory of degenerations. However, sometimes we care about more than just the variety we are degenerating and want to keep track of things like vector/line bundles. In this paper Eisenbud and Harris develop the theory of degenerating a curve together with a linear series. From this they prove a ton of cool results: M_g is of general type for g>24, Brill-Noether theory, etc.<br />
<br />
* ''Picard Groups of Moduli Problems'' - David Mumford.<br />
** This paper is essentially the origin of algebraic stacks.<br />
<br />
* ''The Structure of Algebraic Threefolds: An Introduction to Mori's Program'' - Janos Kollar<br />
** This paper is an introduction to Mori's famous ``minimal model'' program, which is a far reaching program seeking to understand the birational geometry of higher dimensional varieties. <br />
<br />
* ''Cayley-Bacharach Formulas'' - Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels.<br />
** A classical result we all learn in a first semester of algebraic geometry is that 5 points in the plane (in general position) determine a unique plane conic. One can similarly show that 9 (general) points in the plane determine a unique plane cubic curve. This paper tries to answer the question: ``What is equation for this cubic curve?''.<br />
<br />
* ''On Varieties of Minimal Degree (A Centennial Approach)'' - David Eisenbud and Joe Harris.<br />
** Suppose X is a projective variety embedded in projective space so that X is not contained in any hyperplane. By projecting from general points one can see that the degree of X is at least codim(X)+1. This paper discusses the classification of varieties that achieve this lower degree bound i.e. varieties of minimal degree. This topic is quite classical and the paper seems to contain a nice mixture of classical and modern geometry.<br />
<br />
* ''The Gromov-Witten potential associated to a TCFT'' - Kevin J. Costello.<br />
** This seems incredibly interesting, but fairing warning this paper has been described as ''highly technical'', which considering it uses A-infinity algebras and the derived category of a Calabi-Yau seems like a reasonable description. (This paper may be covered in Caldararu's Spring 2017 topics course.)<br />
__NOTOC__<br />
<br />
== Spring 2017 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 25<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 25 | Hodge to de Rham, part one]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 1<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 1 | Hodge to de Rham, part two]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 8 <br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 8 | TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 15 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 22<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 22 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 1<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 1 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 8<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 8| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 15| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 22<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 22 | No Seminar. ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 29<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 29| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 5<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#April 5| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 12<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 12| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 19<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 19| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 26<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 26| TBD ]] <br />
|}<br />
</center><br />
<br />
== January 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hodge to de Rham, part one<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the magic of differential calculus in positive characteristic to prove an important result in the cohomology of smooth varieties in positive characteristic. The techniques I'll use are mainly elementary, but prior experience with differential forms, the Frobenius homomorphism, and a little homological algebra will help. This is the setup, come back next week for the punchline!<br />
|} <br />
</center><br />
<br />
== February 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hodge to de Rham, part two<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Having proved an important result in positive characteristic, I'll give a nifty argument to leverage the positive characteristic statement into a characteristic zero result. I'll talk about some cohomology comparison theorems, and we'll see that all this business in positive characteristic provides an alternate proof to the classic Hodge decomposition theorem for cohomology.<br />
|} <br />
</center><br />
<br />
== February 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== February 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== February 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Spring Break'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: No Seminar.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== March 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== April 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
== April 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== April 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== April 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[https://www.math.wisc.edu/~moises Moisés Herradón Cueto]<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Fall_2016 Fall 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=13111Graduate Algebraic Geometry Seminar Fall 20172017-01-23T23:20:23Z<p>Clement: /* February 1 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B321 (Spring 2017)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
===Specifically Vague Topics===<br />
* D-modules 101: basics of D-modules, equivalence between left and right D-modules, pullbacks, pushforwards, maybe the Gauss-Manin Connection. Claude Sabbah's introduction to the subject could be a good place to start.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
===Famous Theorems===<br />
<br />
===Interesting Papers & Books===<br />
* ''Symplectic structure of the moduli space of sheaves on an abelian or K3 surface'' - Shigeru Mukai.<br />
<br />
* ''Residues and Duality'' - Robin Hatshorne.<br />
** Have you heard of Serre Duality? Would you like to really understand the nuts and bolts of it and its generalizations? If so this book is for you. (You wouldn't need to read the whole book to give a talk ;).)<br />
<br />
* ''Coherent sheaves on P^n and problems in linear algebra'' - A. A. Beilinson.<br />
** In this two page paper constructs the semi-orthogonal decomposition of the derived category of coherent sheaves on projective space. (This topic is very important, and there are a ton of other resources for this result and the general theory of derived categories.)<br />
<br />
* ''Frobenius splitting and cohomology vanishing for Schubert varieties'' - V.B. Mehta and A. Ramanathan.<br />
** In characteristic p the fact that (x+y)^p=x^p+y^p means that one has the Frobenius morphism, which sends f to f^p. In this paper the authors introduce the notion of what it means for a variety to be Frobenius split, and use this to prove certain cohomologcal vanishing results for Schubert varieties. Since then Frobenius splitting -- and its related cousins (F-regularity, strong F-regularity, F-purity, etc.) have played large roles in geometry and algebra in characteristic p. This is a good place to get a sense for what kicked all this stuff off! <br />
<br />
* ''Schubert Calculus'' - S. L. Kleiman and Dan Laksov.<br />
** An introduction to Schubert calculus suitable for those of all ages. I am told the paper essentially only uses linear algebra!<br />
<br />
* ''Rational Isogenies of Prime Degree'' - Barry Mazur.<br />
** In this paper Mazur classifies all isogenies of rational elliptic curves of prime order. As a result of this he deduces his famous result that the torsion subgroup of an elliptic curve (over Q) is one of 15 abelian groups. This definitely stares into the land of number theory, but certainly would still be of interest to many.<br />
<br />
* ''Esquisse d’une programme'' - Alexander Grothendieck.<br />
** Originating from a grant proposal in the mid 1980's this famous paper outlines a tantalizing research program, which seeks to tie numerous different areas of math (algebraic geometry, Teichmuller theory, Galois theory, etc.) together. This is where Grothendieck introduced his famous Lego game and dessin d'enfant. While just a research proposal this paper has seemingly inspired a ton of cool math, and will allow you to "blow peoples’ minds". (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Géométrie algébraique et géométrie analytique'' - J.P. Serre.<br />
** A projective variety X over the complex numbers has two lives, an algebraic and an analytic, depending on which topology one wishes to work with. That is one can think about X as a complex manifold and work with holomorphic functions or as an algebraic variety and work with regular functions. Hence to any complex projective variety we have two sheaf theories and as a result two cohomology theories. In this famous paper Serre compares these two and shows they are in fact the same. (''Note: This is a super fundamental result that is used all the time; normally in the following way: Uhh... What do you mean by cohomology? Well by GAGA or something it doesn't really mater.) (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Limit linear series: Basic theory''- David Eisenbud and Joe Harris.<br />
** One of the more profitable tools -- especially when studying moduli spaces -- in a geometers tool box is the theory of degenerations. However, sometimes we care about more than just the variety we are degenerating and want to keep track of things like vector/line bundles. In this paper Eisenbud and Harris develop the theory of degenerating a curve together with a linear series. From this they prove a ton of cool results: M_g is of general type for g>24, Brill-Noether theory, etc.<br />
<br />
* ''Picard Groups of Moduli Problems'' - David Mumford.<br />
** This paper is essentially the origin of algebraic stacks.<br />
<br />
* ''The Structure of Algebraic Threefolds: An Introduction to Mori's Program'' - Janos Kollar<br />
** This paper is an introduction to Mori's famous ``minimal model'' program, which is a far reaching program seeking to understand the birational geometry of higher dimensional varieties. <br />
<br />
* ''Cayley-Bacharach Formulas'' - Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels.<br />
** A classical result we all learn in a first semester of algebraic geometry is that 5 points in the plane (in general position) determine a unique plane conic. One can similarly show that 9 (general) points in the plane determine a unique plane cubic curve. This paper tries to answer the question: ``What is equation for this cubic curve?''.<br />
<br />
* ''On Varieties of Minimal Degree (A Centennial Approach)'' - David Eisenbud and Joe Harris.<br />
** Suppose X is a projective variety embedded in projective space so that X is not contained in any hyperplane. By projecting from general points one can see that the degree of X is at least codim(X)+1. This paper discusses the classification of varieties that achieve this lower degree bound i.e. varieties of minimal degree. This topic is quite classical and the paper seems to contain a nice mixture of classical and modern geometry.<br />
<br />
* ''The Gromov-Witten potential associated to a TCFT'' - Kevin J. Costello.<br />
** This seems incredibly interesting, but fairing warning this paper has been described as ''highly technical'', which considering it uses A-infinity algebras and the derived category of a Calabi-Yau seems like a reasonable description. (This paper may be covered in Caldararu's Spring 2017 topics course.)<br />
__NOTOC__<br />
<br />
== Spring 2017 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 25<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 25 | TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 1<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 1 | TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 8 <br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 8 | TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 15 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 22<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 22 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 1<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 1 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 8<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 8| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 15| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 22<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 22 | No Seminar. ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 29<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 29| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 5<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#April 5| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 12<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 12| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 19<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 19| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 26<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 26| TBD ]] <br />
|}<br />
</center><br />
<br />
== January 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hodge to de Rham, part one<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the magic of differential calculus in positive characteristic to prove an important result in the cohomology of smooth varieties in positive characteristic. The techniques I'll use are mainly elementary, but prior experience with differential forms, the Frobenius homomorphism, and a little homological algebra will help. This is the setup, come back next week for the punchline!<br />
|} <br />
</center><br />
<br />
== February 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hodge to de Rham, part two<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Having proved an important result in positive characteristic, I'll give a nifty argument to leverage the positive characteristic statement into a characteristic zero result. I'll talk about some cohomology comparison theorems, and we'll see that all this business in positive characteristic provides an alternate proof to the classic Hodge decomposition theorem for cohomology.<br />
|} <br />
</center><br />
<br />
== February 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== February 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== February 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Spring Break'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: No Seminar.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== March 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== April 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
== April 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== April 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== April 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[https://www.math.wisc.edu/~moises Moisés Herradón Cueto]<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Fall_2016 Fall 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=13110Graduate Algebraic Geometry Seminar Fall 20172017-01-23T23:14:37Z<p>Clement: /* January 25 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B321 (Spring 2017)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
===Specifically Vague Topics===<br />
* D-modules 101: basics of D-modules, equivalence between left and right D-modules, pullbacks, pushforwards, maybe the Gauss-Manin Connection. Claude Sabbah's introduction to the subject could be a good place to start.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
===Famous Theorems===<br />
<br />
===Interesting Papers & Books===<br />
* ''Symplectic structure of the moduli space of sheaves on an abelian or K3 surface'' - Shigeru Mukai.<br />
<br />
* ''Residues and Duality'' - Robin Hatshorne.<br />
** Have you heard of Serre Duality? Would you like to really understand the nuts and bolts of it and its generalizations? If so this book is for you. (You wouldn't need to read the whole book to give a talk ;).)<br />
<br />
* ''Coherent sheaves on P^n and problems in linear algebra'' - A. A. Beilinson.<br />
** In this two page paper constructs the semi-orthogonal decomposition of the derived category of coherent sheaves on projective space. (This topic is very important, and there are a ton of other resources for this result and the general theory of derived categories.)<br />
<br />
* ''Frobenius splitting and cohomology vanishing for Schubert varieties'' - V.B. Mehta and A. Ramanathan.<br />
** In characteristic p the fact that (x+y)^p=x^p+y^p means that one has the Frobenius morphism, which sends f to f^p. In this paper the authors introduce the notion of what it means for a variety to be Frobenius split, and use this to prove certain cohomologcal vanishing results for Schubert varieties. Since then Frobenius splitting -- and its related cousins (F-regularity, strong F-regularity, F-purity, etc.) have played large roles in geometry and algebra in characteristic p. This is a good place to get a sense for what kicked all this stuff off! <br />
<br />
* ''Schubert Calculus'' - S. L. Kleiman and Dan Laksov.<br />
** An introduction to Schubert calculus suitable for those of all ages. I am told the paper essentially only uses linear algebra!<br />
<br />
* ''Rational Isogenies of Prime Degree'' - Barry Mazur.<br />
** In this paper Mazur classifies all isogenies of rational elliptic curves of prime order. As a result of this he deduces his famous result that the torsion subgroup of an elliptic curve (over Q) is one of 15 abelian groups. This definitely stares into the land of number theory, but certainly would still be of interest to many.<br />
<br />
* ''Esquisse d’une programme'' - Alexander Grothendieck.<br />
** Originating from a grant proposal in the mid 1980's this famous paper outlines a tantalizing research program, which seeks to tie numerous different areas of math (algebraic geometry, Teichmuller theory, Galois theory, etc.) together. This is where Grothendieck introduced his famous Lego game and dessin d'enfant. While just a research proposal this paper has seemingly inspired a ton of cool math, and will allow you to "blow peoples’ minds". (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Géométrie algébraique et géométrie analytique'' - J.P. Serre.<br />
** A projective variety X over the complex numbers has two lives, an algebraic and an analytic, depending on which topology one wishes to work with. That is one can think about X as a complex manifold and work with holomorphic functions or as an algebraic variety and work with regular functions. Hence to any complex projective variety we have two sheaf theories and as a result two cohomology theories. In this famous paper Serre compares these two and shows they are in fact the same. (''Note: This is a super fundamental result that is used all the time; normally in the following way: Uhh... What do you mean by cohomology? Well by GAGA or something it doesn't really mater.) (The original paper is in French, but there are English translations out there.)<br />
<br />
* ''Limit linear series: Basic theory''- David Eisenbud and Joe Harris.<br />
** One of the more profitable tools -- especially when studying moduli spaces -- in a geometers tool box is the theory of degenerations. However, sometimes we care about more than just the variety we are degenerating and want to keep track of things like vector/line bundles. In this paper Eisenbud and Harris develop the theory of degenerating a curve together with a linear series. From this they prove a ton of cool results: M_g is of general type for g>24, Brill-Noether theory, etc.<br />
<br />
* ''Picard Groups of Moduli Problems'' - David Mumford.<br />
** This paper is essentially the origin of algebraic stacks.<br />
<br />
* ''The Structure of Algebraic Threefolds: An Introduction to Mori's Program'' - Janos Kollar<br />
** This paper is an introduction to Mori's famous ``minimal model'' program, which is a far reaching program seeking to understand the birational geometry of higher dimensional varieties. <br />
<br />
* ''Cayley-Bacharach Formulas'' - Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels.<br />
** A classical result we all learn in a first semester of algebraic geometry is that 5 points in the plane (in general position) determine a unique plane conic. One can similarly show that 9 (general) points in the plane determine a unique plane cubic curve. This paper tries to answer the question: ``What is equation for this cubic curve?''.<br />
<br />
* ''On Varieties of Minimal Degree (A Centennial Approach)'' - David Eisenbud and Joe Harris.<br />
** Suppose X is a projective variety embedded in projective space so that X is not contained in any hyperplane. By projecting from general points one can see that the degree of X is at least codim(X)+1. This paper discusses the classification of varieties that achieve this lower degree bound i.e. varieties of minimal degree. This topic is quite classical and the paper seems to contain a nice mixture of classical and modern geometry.<br />
<br />
* ''The Gromov-Witten potential associated to a TCFT'' - Kevin J. Costello.<br />
** This seems incredibly interesting, but fairing warning this paper has been described as ''highly technical'', which considering it uses A-infinity algebras and the derived category of a Calabi-Yau seems like a reasonable description. (This paper may be covered in Caldararu's Spring 2017 topics course.)<br />
__NOTOC__<br />
<br />
== Spring 2017 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 25<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 25 | TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 1<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 1 | TBD]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 8 <br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 8 | TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 15 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 22<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 22 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 1<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 1 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 8<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 8| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 15<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 15| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 22<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 22 | No Seminar. ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 29<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 29| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 5<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#April 5| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 12<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 12| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 19<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 19| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 26<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 26| TBD ]] <br />
|}<br />
</center><br />
<br />
== January 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hodge to de Rham, part one<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will use the magic of differential calculus in positive characteristic to prove an important result in the cohomology of smooth varieties in positive characteristic. The techniques I'll use are mainly elementary, but prior experience with differential forms, the Frobenius homomorphism, and a little homological algebra will help. This is the setup, come back next week for the punchline!<br />
|} <br />
</center><br />
<br />
== February 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== February 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== February 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== February 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 15 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== March 22 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Spring Break'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: No Seminar.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== March 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== April 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
== April 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== April 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== April 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center> <br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[https://www.math.wisc.edu/~moises Moisés Herradón Cueto]<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Fall_2016 Fall 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=12419Graduate Algebraic Geometry Seminar Fall 20172016-09-29T21:50:40Z<p>Clement: /* Wish List */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B321 (Updated Fall 2016)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
* D-modules 101: basics of D-modules, equivalence between left and right D-modules, pullbacks, pushforwards, maybe the Gauss-Manin Connection. Claude Sabbah's introduction to the subject could be a good place to start.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
* David Mumford "Picard Groups of Moduli Problems" (an early paper delving into the geometry of algebaric stacks)<br />
<br />
__NOTOC__<br />
<br />
== Fall 2016 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 14<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 14| Vignettes in Algebraic Geometry]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 21<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 21 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 28<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 28 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 5 <br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 5| No Seminar Today. ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 12<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 12| Spectral Curves and Higgs Bundles ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 19<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 19| Spectral Curves and Blowups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 26<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 26 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 2| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 9| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 23<br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 23| No Seminar]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 30| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 7<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 7|TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 14<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 14| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vignettes In Algebraic Geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Algebraic geometry is a massive forest, and it is often easy to become lost in the thicket of technical detail and seemingly endless abstraction. The goal of this talk is to take a step back out of these weeds, and return to our roots as algebraic geometers. By looking at three different classical problems we will explore various parts of algebraic geometry, and hopefully motivate the development of some of its larger machinery. Each problem will slowly build with no prerequisite assumed of the listener in the beginning. <br />
|} <br />
</center><br />
<br />
== September 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== September 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== October 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Talk This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: n/a<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== October 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectral Curves and Higgs Bundles<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
I will present some of the backround motivation for the study of Higgs Bundles, mainly pertaining to Nigel Hitchen's 1987 paper. I will then introduce the spectral curve associated to an operator and describe the relevant geometry.<br />
|} <br />
</center><br />
<br />
== October 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectral Curves and Blowups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
Continuing on from last time, I will now take a closer look at the geometry of the spectral curve. The main construction will be the lifting of a spectral curve to a blow up of the ambient surface, and the main tool for studying the geometry of this new spectral curve will be intersection theory in a surface.<br />
|} <br />
</center><br />
<br />
== October 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
== November 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Enjoy Thanksgiving!<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== November 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
<br />
== December 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== December 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=12417Graduate Algebraic Geometry Seminar Fall 20172016-09-29T19:14:03Z<p>Clement: /* Wish List */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B321 (Updated Fall 2016)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
Here are the topics we're '''DYING''' to learn about! Please consider looking into one of these topics and giving one or two GAGS talks.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
* David Mumford "Picard Groups of Moduli Problems" (an early paper delving into the geometry of algebaric stacks)<br />
<br />
__NOTOC__<br />
<br />
== Fall 2016 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 14<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 14| Vignettes in Algebraic Geometry]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 21<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 21 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 28<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 28 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 5 <br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 5| No Seminar Today. ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 12<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 12| Spectral Curves and Higgs Bundles ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 19<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 19| Spectral Curves and Blowups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 26<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 26 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 2| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 9| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 23<br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 23| No Seminar]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 30| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 7<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 7|TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 14<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 14| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vignettes In Algebraic Geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Algebraic geometry is a massive forest, and it is often easy to become lost in the thicket of technical detail and seemingly endless abstraction. The goal of this talk is to take a step back out of these weeds, and return to our roots as algebraic geometers. By looking at three different classical problems we will explore various parts of algebraic geometry, and hopefully motivate the development of some of its larger machinery. Each problem will slowly build with no prerequisite assumed of the listener in the beginning. <br />
|} <br />
</center><br />
<br />
== September 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== September 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== October 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Talk This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: n/a<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== October 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectral Curves and Higgs Bundles<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
I will present some of the backround motivation for the study of Higgs Bundles, mainly pertaining to Nigel Hitchen's 1987 paper. I will then introduce the spectral curve associated to an operator and describe the relevant geometry.<br />
|} <br />
</center><br />
<br />
== October 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectral Curves and Blowups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
Continuing on from last time, I will now take a closer look at the geometry of the spectral curve. The main construction will be the lifting of a spectral curve to a blow up of the ambient surface, and the main tool for studying the geometry of this new spectral curve will be intersection theory in a surface.<br />
|} <br />
</center><br />
<br />
== October 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
== November 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Enjoy Thanksgiving!<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== November 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
<br />
== December 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== December 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=12416Graduate Algebraic Geometry Seminar Fall 20172016-09-29T19:06:43Z<p>Clement: /* October 19 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B321 (Updated Fall 2016)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
If there is a subject or a paper which you'd like to see someone give a talk on, add it to this list. If you want to give a talk and can't find a topic, try one from this list.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
* A careful explanation of the correspondence between graded modules and sheaves on projective varieties.<br />
<br />
* Braverman and Bezrukavnikov: geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (Note: this title sounds tough but prime characteristic makes things ''easier'')<br />
<br />
* Homological projective duality<br />
<br />
* The orbit method (for classifying representations of a Lie group)<br />
<br />
* Kaledin: geometry and topology of symplectic resolutions<br />
<br />
* Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)<br />
<br />
* Geometric complexity theory, maybe something like arXiv:1508.05788.<br />
<br />
__NOTOC__<br />
<br />
== Fall 2016 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 14<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 14| Vignettes in Algebraic Geometry]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 21<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 21 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 28<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 28 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 5 <br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 5| No Seminar Today. ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 12<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 12| Spectral Curves and Higgs Bundles ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 19<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 19| Spectral Curves and Blowups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 26<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 26 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 2| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 9| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 23<br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 23| No Seminar]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 30| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 7<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 7|TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 14<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 14| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vignettes In Algebraic Geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Algebraic geometry is a massive forest, and it is often easy to become lost in the thicket of technical detail and seemingly endless abstraction. The goal of this talk is to take a step back out of these weeds, and return to our roots as algebraic geometers. By looking at three different classical problems we will explore various parts of algebraic geometry, and hopefully motivate the development of some of its larger machinery. Each problem will slowly build with no prerequisite assumed of the listener in the beginning. <br />
|} <br />
</center><br />
<br />
== September 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== September 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== October 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Talk This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: n/a<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== October 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectral Curves and Higgs Bundles<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
I will present some of the backround motivation for the study of Higgs Bundles, mainly pertaining to Nigel Hitchen's 1987 paper. I will then introduce the spectral curve associated to an operator and describe the relevant geometry.<br />
|} <br />
</center><br />
<br />
== October 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectral Curves and Blowups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
Continuing on from last time, I will now take a closer look at the geometry of the spectral curve. The main construction will be the lifting of a spectral curve to a blow up of the ambient surface, and the main tool for studying the geometry of this new spectral curve will be intersection theory in a surface.<br />
|} <br />
</center><br />
<br />
== October 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
== November 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Enjoy Thanksgiving!<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== November 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
<br />
== December 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== December 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=12415Graduate Algebraic Geometry Seminar Fall 20172016-09-29T19:02:44Z<p>Clement: /* October 12 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B321 (Updated Fall 2016)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
If there is a subject or a paper which you'd like to see someone give a talk on, add it to this list. If you want to give a talk and can't find a topic, try one from this list.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
* A careful explanation of the correspondence between graded modules and sheaves on projective varieties.<br />
<br />
* Braverman and Bezrukavnikov: geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (Note: this title sounds tough but prime characteristic makes things ''easier'')<br />
<br />
* Homological projective duality<br />
<br />
* The orbit method (for classifying representations of a Lie group)<br />
<br />
* Kaledin: geometry and topology of symplectic resolutions<br />
<br />
* Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)<br />
<br />
* Geometric complexity theory, maybe something like arXiv:1508.05788.<br />
<br />
__NOTOC__<br />
<br />
== Fall 2016 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 14<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 14| Vignettes in Algebraic Geometry]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 21<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 21 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 28<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 28 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 5 <br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 5| No Seminar Today. ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 12<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 12| Spectral Curves and Higgs Bundles ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 19<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 19| Spectral Curves and Blowups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 26<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 26 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 2| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 9| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 23<br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 23| No Seminar]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 30| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 7<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 7|TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 14<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 14| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vignettes In Algebraic Geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Algebraic geometry is a massive forest, and it is often easy to become lost in the thicket of technical detail and seemingly endless abstraction. The goal of this talk is to take a step back out of these weeds, and return to our roots as algebraic geometers. By looking at three different classical problems we will explore various parts of algebraic geometry, and hopefully motivate the development of some of its larger machinery. Each problem will slowly build with no prerequisite assumed of the listener in the beginning. <br />
|} <br />
</center><br />
<br />
== September 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== September 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== October 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Talk This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: n/a<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== October 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Spectral Curves and Higgs Bundles<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
I will present some of the backround motivation for the study of Higgs Bundles, mainly pertaining to Nigel Hitchen's 1987 paper. I will then introduce the spectral curve associated to an operator and describe the relevant geometry.<br />
|} <br />
</center><br />
<br />
== October 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== October 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
== November 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Enjoy Thanksgiving!<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== November 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
<br />
== December 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== December 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=12414Graduate Algebraic Geometry Seminar Fall 20172016-09-29T18:56:27Z<p>Clement: /* Fall 2016 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B321 (Updated Fall 2016)<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
If there is a subject or a paper which you'd like to see someone give a talk on, add it to this list. If you want to give a talk and can't find a topic, try one from this list.<br />
<br />
* Sheaf operations on D-modules (the point is that then you can get a Fourier-Mukai transform between certain O-modules and certain D-modules, which is more or less how geometric Langlands is supposed to work)<br />
<br />
* A careful explanation of the correspondence between graded modules and sheaves on projective varieties.<br />
<br />
* Braverman and Bezrukavnikov: geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (Note: this title sounds tough but prime characteristic makes things ''easier'')<br />
<br />
* Homological projective duality<br />
<br />
* The orbit method (for classifying representations of a Lie group)<br />
<br />
* Kaledin: geometry and topology of symplectic resolutions<br />
<br />
* Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)<br />
<br />
* Geometric complexity theory, maybe something like arXiv:1508.05788.<br />
<br />
__NOTOC__<br />
<br />
== Fall 2016 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 14<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 14| Vignettes in Algebraic Geometry]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 21<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 21 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 28<br />
| bgcolor="#C6D46E"| Moisés Herradón Cueto<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 28 | Hilbert's 21 and The Riemann-Hilbert correspondence ]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 5 <br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 5| No Seminar Today. ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 12<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 12| Spectral Curves and Higgs Bundles ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 19<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 19| Spectral Curves and Blowups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 26<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 26 | TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 2| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 9| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 23<br />
| bgcolor="#C6D46E"| n/a<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 23| No Seminar]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#November 30| TBD]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 7<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 7|TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 14<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 14| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Vignettes In Algebraic Geometry<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
<br />
Algebraic geometry is a massive forest, and it is often easy to become lost in the thicket of technical detail and seemingly endless abstraction. The goal of this talk is to take a step back out of these weeds, and return to our roots as algebraic geometers. By looking at three different classical problems we will explore various parts of algebraic geometry, and hopefully motivate the development of some of its larger machinery. Each problem will slowly build with no prerequisite assumed of the listener in the beginning. <br />
|} <br />
</center><br />
<br />
== September 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== September 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Moisés Herradón Cueto'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hilbert's 21 and The Riemann-Hilbert correspondence<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enough with the algebra! Away with the schemes and categories! Consider a differential equation with some singularities, such as y'=1/x. Analysis tells us that its solutions can be extended along paths on the complex plane, but when a path loops around the singular point, 0 in this case, the solution might change. This phenomenon is called monodromy. Hilbert's twenty-first problem asks about the possible inverse of the monodromy construction: if some monodromy is prescribed on the plane with some points removed, is there a nice (Fuchsian), linear differential equation whose solutions have this monodromy? Attempting to solve this problem will quickly take us back to our cozy algebraic geometry world of sheaves and vector bundles. For those of us to whom the word sheaves produces a cold sweat running down our backs, this topic is a great way to motivate and introduce sheaves, and will ultimately give us a reason to care about nontrivial vector bundles.<br />
<br />
No knowledge (or ignorance) of sheaves is required and the analysis in the talk will be contained in the tiny amount that I myself know.<br />
|} <br />
</center><br />
<br />
== October 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Talk This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: n/a<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== October 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== October 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== October 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== November 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
== November 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Enjoy Thanksgiving!<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: n/a<br />
|} <br />
</center><br />
<br />
== November 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
<br />
<br />
== December 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== December 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
<br />
== Past Semesters ==<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_Spring_2016 Spring 2016]<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Graduate_Algebraic_Geometry_Seminar_(Fall_2015) Fall 2015]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=AMS_Student_Chapter_Seminar&diff=11627AMS Student Chapter Seminar2016-03-09T21:12:03Z<p>Clement: /* Spring 2016 */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:30 PM – 4:00 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge<br />
* '''Organizers:''' Daniel Hast, Ryan Julian, Laura Cladek, Cullen McDonald, Zachary Charles<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
== Spring 2016 ==<br />
<br />
=== January 27, Wanlin Li ===<br />
<br />
Title: The Nottingham group<br />
<br />
Abstract: It's the group of wild automorphisms of the local field F_q((t)). It's a finitely generated pro-p group. It's hereditarily just infinite. Every finite p-group can be embedded in it. It's a favorite test case for conjectures concerning pro-p groups. It's the Nottingham group! I will introduce you to this nice pro-p group which is loved by group theorists and number theorists.<br />
<br />
=== February 3, Will Cocke ===<br />
<br />
Title: Who or What is the First Order & Why Should I Care?<br />
<br />
Abstract: As noted in recent films, the First Order is very powerful. We will discuss automated theorem proving software, including what exactly that means. We will then demonstrate some theorems, including previously unknown results, whose proofs can be mined from your computer.<br />
<br />
=== February 10, Jason Steinberg ===<br />
<br />
Title: Mazur's Swindle<br />
<br />
Abstract: If we sum the series 1-1+1-1+1-1+... in two ways, we get the nonsensical result 0=1 as follows: 0=(1-1)+(1-1)+(1-1)+...=1+(-1+1)+(-1+1)+...=1. While the argument is invalid in the context of adding infinitely many numbers together, there are other contexts throughout mathematics when it makes sense to take arbitrary infinite "sums" of objects in a way that these sums satisfy an infinite form of associativity. In such contexts, the above argument is valid. Examples of such contexts are connected sums of manifolds, disjoint unions of sets, and direct sums of modules, and in each case we can use this kind of argument to achieve nontrivial results fairly easily. Almost too easily...<br />
<br />
=== February 17, Zachary Charles ===<br />
<br />
Title: #P and Me: A tale of permanent complexity<br />
<br />
Abstract: The permanent is the neglected younger sibling of the determinant. We will discuss the permanent, its properties, and its applications in graph theory and commutative algebra. We will then talk about computational complexity classes and why the permanent lies at a very strange place in the complexity hierarchy. If time permits, we will discuss operations with even sillier names, such as the immanant.<br />
<br />
=== February 24, Brandon Alberts ===<br />
<br />
Title: The Rado Graph<br />
<br />
Abstract: A graph so unique, that a countably infinite random graph is isomorphic to the Rado Graph with probability 1. This talk will define the Rado Graph and walk through a proof of this surprising property.<br />
<br />
=== March 2, Vlad Matei ===<br />
<br />
Title: Pythagoras numbers of fields<br />
<br />
Abstract: The Pythagoras number of a field describes the structure of the set of squares in the field. The Pythagoras number p(K) of a field K is the smallest positive integer p such that every sum of squares in K is a sum of p squares.<br />
<br />
A pythagorean field is one with Pythagoras number 1: that is, every sum of squares is already a square. <br />
<br />
These fields have been studied for over a century and it all started with David Hilbert and his famous 17th problem and whether or not positive polynomial function on '''R'''^n can be written as a finite sum of squares of polynomial functions.<br />
<br />
We explore the history and various results and some unanswered questions.<br />
<br />
=== March 9, Micky Steinberg ===<br />
<br />
Title: The Parallel Postulate and Non-Euclidean Geometry.<br />
<br />
Abstract:<br />
“Is Euclidean Geometry true? It has no meaning. We might as well ask if the metric system is true and if the old weights and measures are false; if Cartesian coordinates are true and polar coordinates false. One geometry cannot be more true than another: it can only be more convenient.” -Poincaré<br />
<br />
Euclid’s Fifth Postulate is logically equivalent to the statement that there exists a unique line through a given point which is parallel to a given line. For 2000 years, mathematicians were sure that this was in fact a theorem which followed from his first four axioms. In attempts to prove the postulate by contradiction, three mathematicians accidentally invented a new geometry...<br />
<br />
=== March 16, Keith Rush ===<br />
<br />
Title: TBA<br />
<br />
Abstract: TBA<br />
<br />
=== March 30, Iván Ongay Valverde ===<br />
<br />
Title: Monstrosities out of measure<br />
<br />
Abstract: It is a well known result that, using the Lebesgue measure, not all subsets of the real line are measurable. To get this result we use the property of invariance under translation and the axiom of choice. Is this still the case if we remove the invariance over translation? Depending how we answer this question the properties of the universe itself can change.<br />
<br />
=== April 6, Nathan Clement ===<br />
<br />
Title: Algebraic Doughnuts<br />
<br />
Abstract: A fun, elementary problem with a snappy solution from Algebraic Geometry. The only prerequisite for this talk is a basic knowledge of circles!<br />
<br />
=== April 13, TBA ===<br />
<br />
=== April 20, TBA ===<br />
<br />
=== April 27, TBA ===<br />
<br />
=== May 4, TBA ===<br />
<br />
=== May 10, TBA ===<br />
<br />
== Fall 2015 ==<br />
<br />
=== October 7, Eric Ramos ===<br />
<br />
Title: Configuration Spaces of Graphs<br />
<br />
Abstract: A configuration of n points on a graph is just a choice of n distinct points. The set of all such configurations is a topological space, and so one can study its properties. Unsurprisingly, one can determine a lot of information about this configuration space from combinatorial data of the graph. In this talk, we consider some of the most basic properties of these spaces, and discuss how they can be applied to things like robotics. Note that most of the talk will amount to drawing pictures until everyone agrees a statement is true.<br />
<br />
=== October 14, Moisés Herradón ===<br />
<br />
Title: The natural numbers form a field<br />
<br />
Abstract: But of course, you already knew that they form a field: you just have to biject them into Q and then use the sum and product from the rational numbers. However, out of the many field structures the natural numbers can have, the one I’ll talk about is for sure the cutest. I will discuss how this field shows up in "nature" (i.e. in the games of some fellows of infinite jest) and what cute properties it has.<br />
<br />
=== October 21, David Bruce ===<br />
<br />
Title: Coverings, Dynamics, and Kneading Sequences<br />
<br />
Abstract: Given a continuous map f:X—>X of topological spaces and a point x in X one can consider the set {x, f(x), f(f(x)), f(f(f(x))),…} i.e, the orbit of x under the map f. The study of such things even in simple cases, for example when X is the complex numbers and f is a (quadratic) polynomial, turns out to be quite complex (pun sort of intended). (It also gives rise to main source of pretty pictures mathematicians put on posters.) In this talk I want to show how the study of such orbits is related to the following question: How can one tell if a (ramified) covering of S^2 comes from a rational function? No background will be assumed and there will be pretty pictures to stare at.<br />
<br />
=== October 28, Paul Tveite ===<br />
<br />
Title: Gödel Incompleteness, Goodstein's Theorem, and the Hydra Game<br />
<br />
Abstract: Gödel incompleteness states, roughly, that there are statements about the natural numbers that are true, but cannot be proved using just Peano Arithmetic. I will give a couple concrete examples of such statements, and prove them in higher mathematics.<br />
<br />
=== November 4, Wanlin Li ===<br />
<br />
Title: Expander Families, Ramanujan graphs, and Property tau<br />
<br />
Abstract: Expander family is an interesting topic in graph theory. I will define it, give non-examples and talk about the ideal kind of it, i.e. Ramanujan graph. Also, I will talk about property tau of a group and how it is related to expander families. To make the talk not full of definitions, here are part of the things I'm not going to define: Graph, regular graph, Bipartite graph, Adjacency matrix of a graph and tea...<br />
<br />
=== November 11, Daniel Hast ===<br />
<br />
Title: Scissor groups of polyhedra and Hilbert's third problem<br />
<br />
Abstract: Given two polytopes of equal measure (area, volume, etc.), can the first be cut into finitely many polytopic pieces and reassembled into the second? To investigate this question, we will introduce the notion of a "scissor group" and compute the scissor group of polygons. We will also discuss the polyhedral case and how it relates to Dehn's solution to Hilbert's third problem. If there is time, we may mention some fancier examples of scissor groups.<br />
<br />
=== November 18, James Waddington ===<br />
<br />
''Note: This week's talk will be from 3:15 to 3:45 instead of the usual time.''<br />
<br />
Title: Euler Spoilers<br />
<br />
Abstract: Leonhard Euler is often cited as one of the greatest mathematicians of the 18. Century. His solution to the Königsburg Bridge problem is an important result of early topology. Euler also did work in combinatorics and in number theory. Often his methods tended to be computational in nature (he was a computer in the traditional sense) and from these he proposed many conjectures, a few of which turned out to be wrong. Two failed conjectures of Euler will be presented.<br />
<br />
=== December 9, Brandon Alberts ===<br />
<br />
Title: The field with one element<br />
<br />
=== December 16, Micky Soule Steinberg ===<br />
<br />
Title: Intersective polynomials<br />
<br />
==Spring 2015==<br />
<br />
===January 28, Moisés Herradón===<br />
<br />
Title: Winning games and taking names<br />
<br />
Abstract: So let’s say we’re already amazing at playing one game (any game!) at a time and we now we need to play several games at once, to keep it challenging. We will see that doing this results in us being able to define an addition on the collection of all games, and that it actually turns this collection into a Group. I will talk about some of the wonders that lie within the group. Maybe lions? Maybe a field containing both the real numbers and the ordinals? For sure it has to be one of these two!<br />
<br />
===February 11, Becky Eastham===<br />
<br />
Title: A generalization of van der Waerden numbers: (a, b) triples and (a_1, a_2, ..., a_n) (n + 1)-tuples<br />
<br />
Abstract: Van der Waerden defined w(k; r) to be the least positive integer such that for every r-coloring of the integers from 1 to w(k; r), there is a monochromatic arithmetic progression of length k. He proved that w(k; r) exists for all positive k, r. I will discuss the case where r = 2. These numbers are notoriously hard to calculate: the first 6 of these are 1, 3, 9, 35, 178, and 1132, but no others are known. I will discuss properties of a generalization of these numbers, (a_1, a_2, ..., a_n) (n + 1)-tuples, which are sets of the form {d, a_1x + d, a_2x + 2d, ..., a_nx + nd}, for d, x positive natural numbers.<br />
<br />
===February 18, Solly Parenti===<br />
<br />
Title: Chebyshev's Bias<br />
<br />
Abstract: Euclid told us that there are infinitely many primes. Dirichlet answered the question of how primes are distributed among residue classes. This talk addresses the question of "Ya, but really, how are the primes distributed among residue classes?" Chebyshev noted in 1853 that there seems to be more primes congruent to 3 mod 4 than their are primes congruent to 1 mod 4. It turns out, he was right, wrong, and everything in between. No analytic number theory is presumed for this talk, as none is known by the speaker.<br />
<br />
===February 25, David Bruce===<br />
<br />
Title: Mean, Median, and Mode - Well Actually Just Median<br />
<br />
Abstract: Given a finite set of numbers there are many different ways to measure the center of the set. Three of the more common measures, familiar to any middle school students, are: mean, median, mode. This talk will focus on the concept of the median, and why in many ways it's sweet. In particular, we will explore how we can extend the notion of a median to higher dimensions, and apply it to create more robust statistics. It will be awesome, and there will be donuts.<br />
<br />
===March 4, Jing Hao===<br />
<br />
Title: Error Correction Codes<br />
<br />
Abstract: In the modern world, many communication channels are subject to noise, and thus errors happen. To help the codes auto-correct themselves, more bits are added to the codes to make them more different from each other and therefore easier to tell apart. The major object we study is linear codes. They have nice algebraic structure embedded, and we can apply well-known algebraic results to construct 'nice' codes. This talk will touch on the basics of coding theory, and introduce some famous codes in the coding world, including several prize problems yet to be solved!<br />
<br />
===March 10 (Tuesday), Nathan Clement===<br />
<br />
''Note: This week's seminar will be on Tuesday at 3:30 instead of the usual time.''<br />
<br />
Title: Two Solutions, not too Technical, to a Problem to which the Answer is Two<br />
<br />
Abstract: A classical problem in Algebraic Geometry is this: Given four pairwise skew lines, how many other lines intersect all of them. I will present some (two) solutions to this problem. One is more classical and ad hoc and the other introduces the Grassmannian variety/manifold and a little intersection theory.<br />
<br />
===March 25, Eric Ramos===<br />
<br />
Title: Braids, Knots and Representations<br />
<br />
Abstract: In the 1920's Artin defined the braid group, B_n, in an attempt to understand knots in a more algebraic setting. A braid is a certain arrangement of strings in three-dimensional space. It is a celebrated theorem of Alexander that every knot is obtainable from a braid by identifying the endpoints of each string. Because of this correspondence, the Jones and Alexander polynomials, two of the most important knot invariants, can be described completely using the braid group. In fact, Jones was able to show that knot invariants can often be realized as characters of special representations of the braid group.<br />
<br />
The purpose of this talk is to give a very light introduction to braid and knot theory. The majority of the talk will be comprised of drawing pictures, and nothing will be treated rigorously.<br />
<br />
===April 8, James Waddington===<br />
<br />
Title: Goodstein's Theorem<br />
<br />
Abstract: One of the most important results in the development of mathematics are<br />
Gödel's Incompleteness theorems. The first incompleteness theorem shows that no<br />
list of axioms one could provide could extend number theory to a complete and<br />
consistent theory. The second showed that one such statement was no<br />
axiomatization of number theory could be used to prove its own consistency.<br />
Needless to say this was not viewed as a very natural independent statement<br />
from arithmetic. <br />
<br />
Examples of non-metamathematical results that were independent of PA, but true<br />
of second order number theory, were not discovered until much later. Within a<br />
short time of each three such statements that were more "natural" were<br />
discovered. The Paris–Harrington Theorem, which was about a statement in Ramsey<br />
theory, the Kirby–Paris theorem, which showed the independence of Goodstein's<br />
theorem from Peano Arithmetic and the Kruskal's tree theorem, a statement about<br />
finite trees. <br />
<br />
In this talk I shall discuss Goodstein's theorem which discusses the end<br />
behavior of a certain "Zero player" game about k-nary expansions of numbers.<br />
I will also give some elements of the proof of the Kirby–Paris theorem.<br />
<br />
===April 22, William Cocke===<br />
<br />
Title: Finite Groups aren't too Square<br />
<br />
Abstract: We investigate how many non-p-th powers a group can have for a given prime p.<br />
We will show using some elementary group theory, that if np(G) is the number of non-p-th powers<br />
in a group G, then G has order bounded by np(G)(np(G)+1). Time permitting we will show this bound<br />
is strict and that mentioned results involving more than finite groups.<br />
<br />
==Fall 2014==<br />
<br />
===September 25, Vladimir Sotirov===<br />
<br />
Title: [[Media:Compact-openTalk.pdf|The compact open topology: what is it really?]]<br />
<br />
Abstract: The compact-open topology on the space C(X,Y) of continuous functions from X to Y is mysteriously generated by declaring that for each compact subset K of X and each open subset V of Y, the continous functions f: X->Y conducting K inside V constitute an open set. In this talk, I will explain the universal property that uniquely determines the compact-open topology, and sketch a pretty constellation of little-known but elementary facts from domain theory that dispell the mystery of the compact-open topology's definition.<br />
<br />
===October 8, David Bruce===<br />
<br />
Title: Hex on the Beach<br />
<br />
Abstract: The game of Hex is a two player game played on a hexagonal grid attributed in part to John Nash. (This is the game he is playing in /A Beautiful Mind./) Despite being relatively easy to pick up, and pretty hard to master, this game has surprising connections to some interesting mathematics. This talk will introduce the game of Hex, and then explore some of these connections. *As it is a lot more fun once you've actually played Hex feel free to join me at 3:00pm on the 9th floor to actually play a few games of Hex!*<br />
<br />
===October 22, Eva Elduque===<br />
<br />
Title: The fold and one cut problem<br />
<br />
Abstract: What shapes can we get by folding flat a piece of paper and making (only) one complete straight cut? The answer is surprising: We can cut out any shape drawn with straight line segments. In the talk, we will discuss the two methods of approaching this problem, focusing on the straight skeleton method, the most intuitive of the two.<br />
<br />
===November 5, Megan Maguire===<br />
<br />
Title: Train tracks on surfaces<br />
<br />
Abstract: What is a train track, mathematically speaking? Are they interesting? Why are they interesting? Come find out!<br />
<br />
===November 19, Adrian Tovar-Lopez===<br />
<br />
Title: Hodgkin and Huxley equations of a single neuron<br />
<br />
===December 3, Zachary Charles===<br />
<br />
Title: Addition chains: To exponentiation and beyond<br />
<br />
Abstract: An addition chain is a sequence of numbers starting at one, such that every number is the sum of two previous numbers. What is the shortest chain ending at a number n? While this is already difficult, we will talk about how addition chains answer life's difficult questions, including: How do we compute 2^4? What can the Ancient Egyptians teach us about elliptic curve cryptography? What about subtraction?</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=10297Graduate Algebraic Geometry Seminar Fall 20172015-09-22T15:49:15Z<p>Clement: /* October 21 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B325<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
If there is a subject or a paper which you'd like to see someone give a talk on, add it to this list. If you want to give a talk and can't find a topic, try one from this list.<br />
<br />
* Bondal and Orlov: semiorthogonal decompositions for algebraic varieties (Note: this is about cool stuff like Fourier-Mukai transforms)<br />
<br />
* Braverman and Bezrukavnikov: geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (Note: this title sounds tough but prime characteristic makes things ''easier'')<br />
<br />
* homological projective duality<br />
<br />
* moment map and symplectic reduction<br />
<br />
* the orbit method (for classifying representations of a Lie group)<br />
<br />
* Kaledin: geometry and topology of symplectic resolutions<br />
<br />
* Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)<br />
<br />
* geometric complexity theory, maybe something like arXiv:1508.05788.<br />
<br />
__NOTOC__<br />
<br />
== Fall 2015 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 2<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 2| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 9<br />
| bgcolor="#C6D46E"| No one<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| Nothing ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 16<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces (cont.) ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 23 <br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| September 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 23| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 7<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 7| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 14<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 14| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 21<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 21| Moduli Spaces of Sheaves on Singular Curves]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 28<br />
| bgcolor="#C6D46E"| Eva Elduque<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 28| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 4<br />
| bgcolor="#C6D46E"| Moisies Heradon<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 4| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 11<br />
| bgcolor="#C6D46E"| Eva Elduque<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 11| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 18<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 18| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 25<br />
| bgcolor="#C6D46E"| No Seminar Thanksgiving<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 25| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 2| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 9| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 16| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A^1 homotopy theory and rank-2 vector bundles on smooth affine surfaces<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will introduce the techniques used by Asok and Fasel to classify rank-2 vector bundles on a smooth affine 3-fold (arXiv:1204.0770). The problem itself is interesting, and the solution uses the A^1 homotopy category. My main goal is to make this category seem less bonkers. <br />
|} <br />
</center><br />
<br />
== September 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|}<br />
</center><br />
<br />
== September 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== October 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Moduli Spaces of Sheaves on Singular Curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain some useful techniques for the study of sheaves on singular curves of arithmetic genus one. In particular, there are many isomorphisms between moduli spaces of different sorts of sheaves on a given curve coming from natural operations on sheaves.<br />
|} <br />
</center><br />
<br />
== October 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 4 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 11 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD"<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 18 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | ''' NO GAGS THIS WEEK '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: No Talk Due to Thanksgiving<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enjoy the break!<br />
|} <br />
</center><br />
== December 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[http://www.math.wisc.edu/~dewey/ Ed Dewey]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=10296Graduate Algebraic Geometry Seminar Fall 20172015-09-22T15:47:07Z<p>Clement: /* Fall 2015 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B325<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
If there is a subject or a paper which you'd like to see someone give a talk on, add it to this list. If you want to give a talk and can't find a topic, try one from this list.<br />
<br />
* Bondal and Orlov: semiorthogonal decompositions for algebraic varieties (Note: this is about cool stuff like Fourier-Mukai transforms)<br />
<br />
* Braverman and Bezrukavnikov: geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (Note: this title sounds tough but prime characteristic makes things ''easier'')<br />
<br />
* homological projective duality<br />
<br />
* moment map and symplectic reduction<br />
<br />
* the orbit method (for classifying representations of a Lie group)<br />
<br />
* Kaledin: geometry and topology of symplectic resolutions<br />
<br />
* Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)<br />
<br />
* geometric complexity theory, maybe something like arXiv:1508.05788.<br />
<br />
__NOTOC__<br />
<br />
== Fall 2015 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 2<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 2| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 9<br />
| bgcolor="#C6D46E"| No one<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| Nothing ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 16<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces (cont.) ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 23 <br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| September 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 23| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 7<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 7| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 14<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 14| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 21<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 21| Moduli Spaces of Sheaves on Singular Curves]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 28<br />
| bgcolor="#C6D46E"| Eva Elduque<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 28| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 4<br />
| bgcolor="#C6D46E"| Moisies Heradon<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 4| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 11<br />
| bgcolor="#C6D46E"| Eva Elduque<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 11| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 18<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 18| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 25<br />
| bgcolor="#C6D46E"| No Seminar Thanksgiving<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 25| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 2| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 9| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 16| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A^1 homotopy theory and rank-2 vector bundles on smooth affine surfaces<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will introduce the techniques used by Asok and Fasel to classify rank-2 vector bundles on a smooth affine 3-fold (arXiv:1204.0770). The problem itself is interesting, and the solution uses the A^1 homotopy category. My main goal is to make this category seem less bonkers. <br />
|} <br />
</center><br />
<br />
== September 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|}<br />
</center><br />
<br />
== September 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== October 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Moduli Spaces of Sheaves on Singular Curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain some useful techniques for the study of sheaves on singular curves. In particular, there are many isomorphisms between moduli spaces of different sorts of sheaves on a given curve coming from natural operations on sheaves.<br />
|} <br />
</center><br />
<br />
== October 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 4 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 11 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD"<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 18 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | ''' NO GAGS THIS WEEK '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: No Talk Due to Thanksgiving<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enjoy the break!<br />
|} <br />
</center><br />
== December 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[http://www.math.wisc.edu/~dewey/ Ed Dewey]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=10235Graduate Algebraic Geometry Seminar Fall 20172015-09-17T18:37:30Z<p>Clement: /* October 21 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B325<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
If there is a subject or a paper which you'd like to see someone give a talk on, add it to this list. If you want to give a talk and can't find a topic, try one from this list.<br />
<br />
* Bondal and Orlov: semiorthogonal decompositions for algebraic varieties (Note: this is about cool stuff like Fourier-Mukai transforms)<br />
<br />
* Braverman and Bezrukavnikov: geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (Note: this title sounds tough but prime characteristic makes things ''easier'')<br />
<br />
* homological projective duality<br />
<br />
* moment map and symplectic reduction<br />
<br />
* the orbit method (for classifying representations of a Lie group)<br />
<br />
* Kaledin: geometry and topology of symplectic resolutions<br />
<br />
* Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)<br />
<br />
* geometric complexity theory, maybe something like arXiv:1508.05788.<br />
<br />
__NOTOC__<br />
<br />
== Fall 2015 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 2<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 2| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 9<br />
| bgcolor="#C6D46E"| No one<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| Nothing ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 16<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces (cont.) ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 23 <br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| September 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 23| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 7<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 7| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 14<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 14| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 21<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 21| Moduli Spaces of Sheaves on Singular Curves ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 28<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 28| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 4<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 4| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 11<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 11| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 18<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 18| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 25<br />
| bgcolor="#C6D46E"| No Seminar Thanksgiving<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 25| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 2| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 9| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 16| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A^1 homotopy theory and rank-2 vector bundles on smooth affine surfaces<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will introduce the techniques used by Asok and Fasel to classify rank-2 vector bundles on a smooth affine 3-fold (arXiv:1204.0770). The problem itself is interesting, and the solution uses the A^1 homotopy category. My main goal is to make this category seem less bonkers. <br />
|} <br />
</center><br />
<br />
== September 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|}<br />
</center><br />
<br />
== September 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== October 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Moduli Spaces of Sheaves on Singular Curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain some useful techniques for the study of sheaves on singular curves. In particular, there are many isomorphisms between moduli spaces of different sorts of sheaves on a given curve coming from natural operations on sheaves.<br />
|} <br />
</center><br />
<br />
== October 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 4 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 11 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD"<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 18 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | ''' NO GAGS THIS WEEK '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: No Talk Due to Thanksgiving<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enjoy the break!<br />
|} <br />
</center><br />
== December 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[http://www.math.wisc.edu/~dewey/ Ed Dewey]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=10234Graduate Algebraic Geometry Seminar Fall 20172015-09-17T18:37:17Z<p>Clement: /* October 21 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B325<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
If there is a subject or a paper which you'd like to see someone give a talk on, add it to this list. If you want to give a talk and can't find a topic, try one from this list.<br />
<br />
* Bondal and Orlov: semiorthogonal decompositions for algebraic varieties (Note: this is about cool stuff like Fourier-Mukai transforms)<br />
<br />
* Braverman and Bezrukavnikov: geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (Note: this title sounds tough but prime characteristic makes things ''easier'')<br />
<br />
* homological projective duality<br />
<br />
* moment map and symplectic reduction<br />
<br />
* the orbit method (for classifying representations of a Lie group)<br />
<br />
* Kaledin: geometry and topology of symplectic resolutions<br />
<br />
* Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)<br />
<br />
* geometric complexity theory, maybe something like arXiv:1508.05788.<br />
<br />
__NOTOC__<br />
<br />
== Fall 2015 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 2<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 2| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 9<br />
| bgcolor="#C6D46E"| No one<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| Nothing ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 16<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces (cont.) ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 23 <br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| September 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 23| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 7<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 7| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 14<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 14| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 21<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 21| Moduli Spaces of Sheaves on Singular Curves ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 28<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 28| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 4<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 4| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 11<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 11| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 18<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 18| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 25<br />
| bgcolor="#C6D46E"| No Seminar Thanksgiving<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 25| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 2| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 9| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 16| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A^1 homotopy theory and rank-2 vector bundles on smooth affine surfaces<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will introduce the techniques used by Asok and Fasel to classify rank-2 vector bundles on a smooth affine 3-fold (arXiv:1204.0770). The problem itself is interesting, and the solution uses the A^1 homotopy category. My main goal is to make this category seem less bonkers. <br />
|} <br />
</center><br />
<br />
== September 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|}<br />
</center><br />
<br />
== September 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== October 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Moduli Spaces of Sheaves on Singular Curves<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will explain some useful techniques for the study of sheaves on singular curves. In particular, there are many isomorphisms between moduli spaces of different sorts of sheaves on a given curve coming from natural operations on sheaves.<br />
|} <br />
</center><br />
<br />
== October 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 4 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 11 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD"<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 18 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | ''' NO GAGS THIS WEEK '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: No Talk Due to Thanksgiving<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enjoy the break!<br />
|} <br />
</center><br />
== December 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[http://www.math.wisc.edu/~dewey/ Ed Dewey]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=10233Graduate Algebraic Geometry Seminar Fall 20172015-09-17T18:31:49Z<p>Clement: /* Fall 2015 */</p>
<hr />
<div>'''<br />
'''When:''' Wednesdays 4:00pm<br />
<br />
'''Where:'''Van Vleck B325<br />
[[Image:cat.jpg|thumb|220px| | Lizzie the OFFICIAL mascot of GAGS!!]]<br />
<br />
'''Who:''' YOU!!<br />
<br />
'''Why:''' The purpose of this seminar is to learn algebraic geometry by giving and listening to talks in a informal setting. Talks are typically accessible to beginning graduate students and take many different forms. Sometimes people present an interesting paper they find. Other times people give a prep talk for the Friday Algebraic Geometry Seminar. Other times people give a series of talks on a topic they have been studying in-depth.<br />
<br />
'''How:'''If you want to get emails regarding time, place, and talk topics ('''which are often assigned quite last minute''') add yourself to the gags mailing list: gags@lists.wisc.edu. The list registration page is [https://admin.lists.wisc.edu/index.php?p=11&l=gags here].<br />
'''<br />
<br />
<br />
<br />
<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:djbruce@math.wisc.edu DJ], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
<br />
== Wish List ==<br />
If there is a subject or a paper which you'd like to see someone give a talk on, add it to this list. If you want to give a talk and can't find a topic, try one from this list.<br />
<br />
* Bondal and Orlov: semiorthogonal decompositions for algebraic varieties (Note: this is about cool stuff like Fourier-Mukai transforms)<br />
<br />
* Braverman and Bezrukavnikov: geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (Note: this title sounds tough but prime characteristic makes things ''easier'')<br />
<br />
* homological projective duality<br />
<br />
* moment map and symplectic reduction<br />
<br />
* the orbit method (for classifying representations of a Lie group)<br />
<br />
* Kaledin: geometry and topology of symplectic resolutions<br />
<br />
* Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)<br />
<br />
* geometric complexity theory, maybe something like arXiv:1508.05788.<br />
<br />
__NOTOC__<br />
<br />
== Fall 2015 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 2<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 2| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 9<br />
| bgcolor="#C6D46E"| No one<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| Nothing ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 16<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 9| A^1 homotopy theory and rank-2 vector Bundles on smooth affine surfaces (cont.) ]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 23 <br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 16| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| September 30<br />
| bgcolor="#C6D46E"| DJ Bruce<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#September 23| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 7<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 7| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 14<br />
| bgcolor="#C6D46E"| Zachary Charles<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 14| An Introduction to Real Algebraic Geometry and the Real Spectrum]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 21<br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#October 21| Moduli Spaces of Sheaves on Singular Curves ]] <br />
|-<br />
| bgcolor="#E0E0E0"| October 28<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#October 28| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 4<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 4| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 11<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 11| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 18<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 18| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| November 25<br />
| bgcolor="#C6D46E"| No Seminar Thanksgiving<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#November 25| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 2<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 2| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 9<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 9| TBD ]] <br />
|-<br />
| bgcolor="#E0E0E0"| December 16<br />
| bgcolor="#C6D46E"| TBD<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#December 16| TBD ]] <br />
|}<br />
</center><br />
<br />
== September 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: A^1 homotopy theory and rank-2 vector bundles on smooth affine surfaces<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will introduce the techniques used by Asok and Fasel to classify rank-2 vector bundles on a smooth affine 3-fold (arXiv:1204.0770). The problem itself is interesting, and the solution uses the A^1 homotopy category. My main goal is to make this category seem less bonkers. <br />
|} <br />
</center><br />
<br />
== September 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|}<br />
</center><br />
<br />
== September 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== September 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 7 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 14 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== October 21 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== October 28 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 4 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 11 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD"<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 18 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== November 25 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | ''' NO GAGS THIS WEEK '''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: No Talk Due to Thanksgiving<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Enjoy the break!<br />
|} <br />
</center><br />
== December 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
== December 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBD<br />
|} <br />
</center><br />
<br />
== Organizers' Contact Info ==<br />
[http://www.math.wisc.edu/~djbruce DJ Bruce]<br />
<br />
[http://www.math.wisc.edu/~clement Nathan Clement]<br />
<br />
[http://www.math.wisc.edu/~dewey/ Ed Dewey]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=6680Graduate Algebraic Geometry Seminar Fall 20172014-02-18T20:59:51Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 4pm, Room - Van Vleck B219'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
If you want to get emails regarding time, place, and talk topics (which are often assigned quite last minute) add yourself to the gags mailing list: gags@lists.math.wisc.edu<br />
<br />
The list registration page is here: [https://lists.math.wisc.edu/listinfo/gags https://lists.math.wisc.edu/listinfo/gags]<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan], or just add yourself to the list (though in that case we might move your talk later without your permission). Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Spring 2014 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 29<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 29| Hitchin's System ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 5 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 5| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 12 <br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 12| Grothendieck's Theorem on V.B. on P^1 ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 19 <br />
| bgcolor="#C6D46E"| Yihe Dong<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 19| Group Cohomology ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 26<br />
| bgcolor="#C6D46E"| Serkan Sakar<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 26| Lie Algebra Homology/Cohomology ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 5<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 5| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 12<br />
| bgcolor="#C6D46E"| Marci Hablicsek <br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 12| Non-commutative resolutions and McKay-correspondence ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 19<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"| No Seminar <br />
|-<br />
| bgcolor="#E0E0E0"| March 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 26| Prep Talk for Kevin Tucker ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 2<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 2| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 9<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 9| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 16<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 16| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 23<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 23| Prep Talk for Charles Doran ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 30<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 30| TBA ]] <br />
|}<br />
</center><br />
<br />
== January 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hitchin's System<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Grothendieck's Theorem on Vector Bundles on P^1<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will begin by briefly discussing line bundles and vector bundles, primarily in the context of smooth curves. I will introduce Serre Duality and Riemann-Roch in this context. My target application is to give a proof of Grothendieck's Theorem on the decomposition of vector bundles on P^1. I intend this talk to be accessible to anyone who has taken one semester of Algebraic Geometry!<br />
|}<br />
</center><br />
<br />
== February 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Serkan Sakar'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Lie Algebra Homology/Cohomology<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Marci Hablicsek'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Non-commutative resolutions and McKay-correspondence.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Classical method for resolving singularities is to somehow associate an ideal to the singular space. Non-commutative resolutions associate instead a non-commutative algebra to the space. In the talk, through explicit examples, I'll illustrate how to get quivers from singular spaces and how to find resolutions through the quivers.<br />
|} <br />
</center><br />
<br />
== March 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Andrew Bridy'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin-Mazur zeta function of a rational map in positive characteristic".<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBA<br />
|} <br />
</center><br />
== April 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=6591Graduate Algebraic Geometry Seminar Fall 20172014-02-07T19:05:06Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 4pm, Room - Van Vleck B219'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
If you want to get emails regarding time, place, and talk topics (which are often assigned quite last minute) add yourself to the gags mailing list: gags@lists.math.wisc.edu<br />
<br />
The list registration page is here: [https://lists.math.wisc.edu/listinfo/gags https://lists.math.wisc.edu/listinfo/gags]<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Spring 2014 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 29<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 29| Hitchin's System ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 5 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 5| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 12 <br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 12| Grothendieck's Theorem on V.B. on P^1 ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 19 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 19| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 5<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 5| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 12<br />
| bgcolor="#C6D46E"| TBA <br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 12| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 19<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"| No Seminar <br />
|-<br />
| bgcolor="#E0E0E0"| March 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 2<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 2| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 9<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 9| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 16<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 16| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 23<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 23| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 30<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 30| TBA ]] <br />
|}<br />
</center><br />
<br />
== January 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hitchin's System<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Grothendieck's Theorem on Vector Bundles on P^1<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will begin by briefly discussing line bundles and vector bundles, primarily in the context of smooth curves. I will introduce Serre Duality and Riemann-Roch in this context. My target application is to give a proof of Grothendieck's Theorem on the decomposition of vector bundles on P^1. I intend this talk to be accessible to anyone who has taken one semester of Algebraic Geometry!<br />
|}<br />
</center><br />
<br />
== February 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Andrew Bridy'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin-Mazur zeta function of a rational map in positive characteristic".<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBA<br />
|} <br />
</center><br />
== April 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=6590Graduate Algebraic Geometry Seminar Fall 20172014-02-07T19:02:09Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 4pm, Room - Van Vleck B219'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Spring 2014 ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 29<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 29| Hitchin's System ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 5 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 5| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 12 <br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 12| Grothendieck's Theorem on V.B. on P^1 ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 19 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 19| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 5<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 5| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 12<br />
| bgcolor="#C6D46E"| TBA <br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 12| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 19<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"| No Seminar <br />
|-<br />
| bgcolor="#E0E0E0"| March 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 2<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 2| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 9<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 9| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 16<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 16| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 23<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 23| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 30<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 30| TBA ]] <br />
|}<br />
</center><br />
<br />
== January 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hitchin's System<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Grothendieck's Theorem on Vector Bundles on P^1<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will begin by briefly discussing line bundles and vector bundles, primarily in the context of smooth curves. I will introduce Serre Duality and Riemann-Roch in this context. My target application is to give a proof of Grothendieck's Theorem on the decomposition of vector bundles on P^1. I intend this talk to be accessible to anyone who has taken one semester of Algebraic Geometry!<br />
|}<br />
</center><br />
<br />
== February 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Andrew Bridy'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin-Mazur zeta function of a rational map in positive characteristic".<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBA<br />
|} <br />
</center><br />
== April 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=6589Graduate Algebraic Geometry Seminar Fall 20172014-02-07T19:01:40Z<p>Clement: /* February 12 */</p>
<hr />
<div>'''Wednesdays 4pm, Room - Van Vleck B219'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 29<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 29| Hitchin's System ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 5 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 5| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 12 <br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 12| Grothendieck's Theorem on V.B. on P^1 ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 19 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 19| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 5<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 5| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 12<br />
| bgcolor="#C6D46E"| TBA <br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 12| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 19<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"| No Seminar <br />
|-<br />
| bgcolor="#E0E0E0"| March 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 2<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 2| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 9<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 9| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 16<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 16| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 23<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 23| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 30<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 30| TBA ]] <br />
|}<br />
</center><br />
<br />
== January 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hitchin's System<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Grothendieck's Theorem on Vector Bundles on P^1<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will begin by briefly discussing line bundles and vector bundles, primarily in the context of smooth curves. I will introduce Serre Duality and Riemann-Roch in this context. My target application is to give a proof of Grothendieck's Theorem on the decomposition of vector bundles on P^1. I intend this talk to be accessible to anyone who has taken one semester of Algebraic Geometry!<br />
|}<br />
</center><br />
<br />
== February 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Andrew Bridy'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin-Mazur zeta function of a rational map in positive characteristic".<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBA<br />
|} <br />
</center><br />
== April 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=6588Graduate Algebraic Geometry Seminar Fall 20172014-02-07T18:54:02Z<p>Clement: /* Fall 2012 Semester */</p>
<hr />
<div>'''Wednesdays 4pm, Room - Van Vleck B219'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 29<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 29| Hitchin's System ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 5 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 5| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 12 <br />
| bgcolor="#C6D46E"| Nathan Clement<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 12| Grothendieck's Theorem on V.B. on P^1 ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 19 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 19| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 5<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 5| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 12<br />
| bgcolor="#C6D46E"| TBA <br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 12| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 19<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"| No Seminar <br />
|-<br />
| bgcolor="#E0E0E0"| March 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 2<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 2| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 9<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 9| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 16<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 16| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 23<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 23| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 30<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 30| TBA ]] <br />
|}<br />
</center><br />
<br />
== January 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hitchin's System<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Andrew Bridy'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin-Mazur zeta function of a rational map in positive characteristic".<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBA<br />
|} <br />
</center><br />
== April 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=6493Graduate Algebraic Geometry Seminar Fall 20172014-01-29T21:10:26Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 4pm, Room - Van Vleck B219'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| January 29<br />
| bgcolor="#C6D46E"| Ed Dewey<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#January 29| Hitchin's System ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 5 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 5| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 12 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 12| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 19 <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 19| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| February 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 5<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 5| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 12<br />
| bgcolor="#C6D46E"| TBA <br />
| bgcolor="#BCE2FE"| [[Graduate Algebraic Geometry Seminar#March 12| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 19<br />
| bgcolor="#C6D46E"| Spring Break<br />
| bgcolor="#BCE2FE"| No Seminar <br />
|-<br />
| bgcolor="#E0E0E0"| March 26<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 26| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 2<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 2| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 9<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 9| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 16<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 16| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 23<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 23| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 30<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 30| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== January 29 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Hitchin's System<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 5 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 12 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 26 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 2 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: <br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
== April 9 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 16 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Andrew Bridy'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin-Mazur zeta function of a rational map in positive characteristic".<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBA<br />
|} <br />
</center><br />
== April 23 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 30 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=5320Graduate Algebraic Geometry Seminar Fall 20172013-04-29T22:16:38Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 1:30-2:30 pm, Room - TBA'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 13| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 20 (Wed.) <br />
| bgcolor="#C6D46E"| Jeff Poskin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 20| Constructing proper but non-projective varieties. ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 27 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 27| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 6 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 6| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 13| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 20 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 20| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 27 (Wed.)<br />
| bgcolor="#C6D46E"| Spring Break <br />
| bgcolor="#BCE2FE"| No Seminar<br />
|-<br />
| bgcolor="#E0E0E0"| April 3 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 3| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 10 (Wed.)<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 10| Cartier duality for commutative algebraic groups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| '''Time and room change: April 19 (Fri.), B305'''<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 19| Cartier duality: Part 2 ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 24 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 24| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 1 (Wed.)<br />
| bgcolor="#C6D46E"| Andrew Bridy<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 1| The Artin-Mazur zeta function of a rational map in positive characteristic".]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 8 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 8| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== Soon! ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: We Don't Need No Stinking Scheme<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Following Mumford, we'll compute the Picard group of the (non-existent) moduli space of elliptic curves.<br />
|} <br />
</center><br />
== February 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Constructing proper but non-projective varieties.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It is known that, above dimension 1, there exist proper varieties that are not projective. Using the methods associated with the study of toric varieties, we give several examples and show why they must not be projective.<br />
|} <br />
</center><br />
== February 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Dima Arinkin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Cartier duality for commutative algebraic groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Cartier duality is an algebraic version of the Pontryagin duality. A finite commutative group may be viewed either as a locally compact group or as a discrete algebraic group. Accordingly, its dual can be interpreted in the topological way (the Pontryagin dual: the group of continuous characters to U(1)) or in the algebraic way (the Cartier dual: the group of regular characters to the multiplicative group). The Cartier duality extends to a beautiful and non-trivial correspondence on a wider class of affine commutative algebraic groups; this is similar to the extension of the Pontryagin duality from finite groups to locally compact groups. <br />
|} <br />
</center><br />
== April 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Dima Arinkin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Cartier duality II<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: This is a continuation of my talk last week. The goal is to extend the Cartier duality to infinite commutative algebraic groups (and group ind-schemes). I will consider several examples, concluding with the one that is perhaps most spectacular: the Contou-Carrere symbol (the algebro-geometric version of the Hilbert symbol).<br />
|} <br />
</center><br />
== April 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Andrew Bridy'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The Artin-Mazur zeta function of a rational map in positive characteristic".<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: TBA<br />
|} <br />
</center><br />
== May 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=5283Graduate Algebraic Geometry Seminar Fall 20172013-04-16T20:47:15Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 1:30-2:30 pm, Room - TBA'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 13| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 20 (Wed.) <br />
| bgcolor="#C6D46E"| Jeff Poskin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 20| Constructing proper but non-projective varieties. ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 27 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 27| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 6 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 6| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 13| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 20 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 20| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 27 (Wed.)<br />
| bgcolor="#C6D46E"| Spring Break <br />
| bgcolor="#BCE2FE"| No Seminar<br />
|-<br />
| bgcolor="#E0E0E0"| April 3 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 3| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 10 (Wed.)<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 10| Cartier duality for commutative algebraic groups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| '''Time and room change: April 19 (Fri.), B305'''<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 19| Cartier duality: Part 2 ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 24 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 24| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 1 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 1| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 8 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 8| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== Soon! ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: We Don't Need No Stinking Scheme<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Following Mumford, we'll compute the Picard group of the (non-existent) moduli space of elliptic curves.<br />
|} <br />
</center><br />
== February 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Constructing proper but non-projective varieties.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It is known that, above dimension 1, there exist proper varieties that are not projective. Using the methods associated with the study of toric varieties, we give several examples and show why they must not be projective.<br />
|} <br />
</center><br />
== February 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Dima Arinkin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Cartier duality for commutative algebraic groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Cartier duality is an algebraic version of the Pontryagin duality. A finite commutative group may be viewed either as a locally compact group or as a discrete algebraic group. Accordingly, its dual can be interpreted in the topological way (the Pontryagin dual: the group of continuous characters to U(1)) or in the algebraic way (the Cartier dual: the group of regular characters to the multiplicative group). The Cartier duality extends to a beautiful and non-trivial correspondence on a wider class of affine commutative algebraic groups; this is similar to the extension of the Pontryagin duality from finite groups to locally compact groups. <br />
|} <br />
</center><br />
== April 19 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Dima Arinkin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Cartier duality II<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: This is a continuation of my talk last week. The goal is to extend the Cartier duality to infinite commutative algebraic groups (and group ind-schemes). I will consider several examples, concluding with the one that is perhaps most spectacular: the Contou-Carrere symbol (the algebro-geometric version of the Hilbert symbol).<br />
|} <br />
</center><br />
== April 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=5277Graduate Algebraic Geometry Seminar Fall 20172013-04-15T16:42:07Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 1:30-2:30 pm, Room - TBA'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 13| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 20 (Wed.) <br />
| bgcolor="#C6D46E"| Jeff Poskin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 20| Constructing proper but non-projective varieties. ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 27 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 27| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 6 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 6| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 13| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 20 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 20| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 27 (Wed.)<br />
| bgcolor="#C6D46E"| Spring Break <br />
| bgcolor="#BCE2FE"| No Seminar<br />
|-<br />
| bgcolor="#E0E0E0"| April 3 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 3| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 10 (Wed.)<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 10| Cartier duality for commutative algebraic groups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 17 (Wed.)<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 17| Cartier duality II ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 24 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 24| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 1 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 1| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 8 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 8| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== Soon! ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: We Don't Need No Stinking Scheme<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Following Mumford, we'll compute the Picard group of the (non-existent) moduli space of elliptic curves.<br />
|} <br />
</center><br />
== February 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Constructing proper but non-projective varieties.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It is known that, above dimension 1, there exist proper varieties that are not projective. Using the methods associated with the study of toric varieties, we give several examples and show why they must not be projective.<br />
|} <br />
</center><br />
== February 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Dima Arinkin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Cartier duality for commutative algebraic groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Cartier duality is an algebraic version of the Pontryagin duality. A finite commutative group may be viewed either as a locally compact group or as a discrete algebraic group. Accordingly, its dual can be interpreted in the topological way (the Pontryagin dual: the group of continuous characters to U(1)) or in the algebraic way (the Cartier dual: the group of regular characters to the multiplicative group). The Cartier duality extends to a beautiful and non-trivial correspondence on a wider class of affine commutative algebraic groups; this is similar to the extension of the Pontryagin duality from finite groups to locally compact groups. <br />
|} <br />
</center><br />
== April 17 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Dima Arinkin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Cartier duality II<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: This will be a continuation of the Cartier duality talk from last week.<br />
|} <br />
</center><br />
== April 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=5239Graduate Algebraic Geometry Seminar Fall 20172013-04-10T00:25:56Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 1:30-2:30 pm, Room - TBA'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 13| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 20 (Wed.) <br />
| bgcolor="#C6D46E"| Jeff Poskin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 20| Constructing proper but non-projective varieties. ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 27 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 27| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 6 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 6| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 13| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 20 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 20| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 27 (Wed.)<br />
| bgcolor="#C6D46E"| Spring Break <br />
| bgcolor="#BCE2FE"| No Seminar<br />
|-<br />
| bgcolor="#E0E0E0"| April 3 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 3| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 10 (Wed.)<br />
| bgcolor="#C6D46E"| Dima Arinkin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 10| Cartier duality for commutative algebraic groups ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 17 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 17| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 24 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 24| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 1 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 1| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 8 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 8| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== Soon! ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: We Don't Need No Stinking Scheme<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Following Mumford, we'll compute the Picard group of the (non-existent) moduli space of elliptic curves.<br />
|} <br />
</center><br />
== February 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Constructing proper but non-projective varieties.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It is known that, above dimension 1, there exist proper varieties that are not projective. Using the methods associated with the study of toric varieties, we give several examples and show why they must not be projective.<br />
|} <br />
</center><br />
== February 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Dima Arinkin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Cartier duality for commutative algebraic groups<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: The Cartier duality is an algebraic version of the Pontryagin duality. A finite commutative group may be viewed either as a locally compact group or as a discrete algebraic group. Accordingly, its dual can be interpreted in the topological way (the Pontryagin dual: the group of continuous characters to U(1)) or in the algebraic way (the Cartier dual: the group of regular characters to the multiplicative group). The Cartier duality extends to a beautiful and non-trivial correspondence on a wider class of affine commutative algebraic groups; this is similar to the extension of the Pontryagin duality from finite groups to locally compact groups. <br />
|} <br />
</center><br />
== April 17 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=5054Graduate Algebraic Geometry Seminar Fall 20172013-02-13T22:24:46Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 1:30-2:30 pm, Room - TBA'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 13| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 20 (Wed.) <br />
| bgcolor="#C6D46E"| Jeff Poskin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 20| Constructing proper but non-projective varieties. ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 27 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 27| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 6 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 6| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 13| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 20 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 20| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 27 (Wed.)<br />
| bgcolor="#C6D46E"| Spring Break <br />
| bgcolor="#BCE2FE"| No Seminar<br />
|-<br />
| bgcolor="#E0E0E0"| April 3 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 3| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 10 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 10| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 17 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 17| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 24 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 24| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 1 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 1| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 8 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 8| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== Soon! ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: We Don't Need No Stinking Scheme<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Following Mumford, we'll compute the Picard group of the (non-existent) moduli space of elliptic curves.<br />
|} <br />
</center><br />
== February 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Constructing proper but non-projective varieties.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It is known that, above dimension 1, there exist proper varieties that are not projective. Using the methods associated with the study of toric varieties, we give several examples and show why they must not be projective.<br />
|} <br />
</center><br />
== February 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 17 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=5045Graduate Algebraic Geometry Seminar Fall 20172013-02-12T19:29:14Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 1:30-2:30 pm, Room - TBA'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 13| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 20 (Wed.) <br />
| bgcolor="#C6D46E"| Jeff Poskin<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 20| Constructing proper but non-projective varieties. ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 27 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 27| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 6 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 6| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 13| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 20 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 20| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 27 (Wed.)<br />
| bgcolor="#C6D46E"| Spring Break <br />
| bgcolor="#BCE2FE"| No Seminar<br />
|-<br />
| bgcolor="#E0E0E0"| April 3 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 3| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 10 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 10| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 17 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 17| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 24 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 24| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 1 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 1| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 8 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 8| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== Soon! ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: We Don't Need No Stinking Scheme<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Following Mumford, we'll compute the Picard group of the (non-existent) moduli space of elliptic curves.<br />
|} <br />
</center><br />
== February 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Constructing proper but non-projective varieties.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It is known that, above dimension 1, there exist proper varieties that are not projective. Using the methods associated with the study of toric varieties, we give several examples and show why they must not be projective.<br />
|} <br />
</center><br />
== February 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 17 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=5044Graduate Algebraic Geometry Seminar Fall 20172013-02-12T19:28:57Z<p>Clement: </p>
<hr />
<div>'''Wednesdays 1:30-2:30 pm, Room - TBA'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 13| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 20 (Wed.) <br />
| bgcolor="#C6D46E"| Jeff Posking<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 20| Constructing proper but non-projective varieties. ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 27 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 27| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 6 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 6| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 13| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 20 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 20| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 27 (Wed.)<br />
| bgcolor="#C6D46E"| Spring Break <br />
| bgcolor="#BCE2FE"| No Seminar<br />
|-<br />
| bgcolor="#E0E0E0"| April 3 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 3| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 10 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 10| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 17 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 17| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 24 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 24| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 1 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 1| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 8 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 8| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== Soon! ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: We Don't Need No Stinking Scheme<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Following Mumford, we'll compute the Picard group of the (non-existent) moduli space of elliptic curves.<br />
|} <br />
</center><br />
== February 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Constructing proper but non-projective varieties.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: It is known that, above dimension 1, there exist proper varieties that are not projective. Using the methods associated with the study of toric varieties, we give several examples and show why they must not be projective.<br />
|} <br />
</center><br />
== February 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 17 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=5018Graduate Algebraic Geometry Seminar Fall 20172013-02-06T18:19:10Z<p>Clement: Updated for Spring 2013</p>
<hr />
<div>'''Wednesdays 1:30-2:30 pm, Room - TBA'''<br />
<br />
The purpose of this seminar is to have a talk on each week by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and could try to explain some of the background, terminology, and ideas for the grown-up AG talk that week, or can be about whatever you have been thinking about recently.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:clement@math.wisc.edu Nathan]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#A6B658" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 13| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 20 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 20| TBA ]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 27 (Wed.) <br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#February 27| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 6 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 6| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 13 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 13| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 20 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#March 20| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| March 27 (Wed.)<br />
| bgcolor="#C6D46E"| Spring Break <br />
| bgcolor="#BCE2FE"| No Seminar<br />
|-<br />
| bgcolor="#E0E0E0"| April 3 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 3| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 10 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 10| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 17 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 17| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| April 24 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#April 24| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 1 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 1| TBA ]] <br />
|-<br />
| bgcolor="#E0E0E0"| May 8 (Wed.)<br />
| bgcolor="#C6D46E"| TBA<br />
| bgcolor="#BCE2FE"|[[Graduate Algebraic Geometry Seminar#May 8| TBA ]] <br />
|}<br />
</center><br />
<br />
<br />
== Soon! ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: We Don't Need No Stinking Scheme<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Following Mumford, we'll compute the Picard group of the (non-existent) moduli space of elliptic curves.<br />
|} <br />
</center><br />
== February 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== February 27 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 6 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 13 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== March 20 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 3 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 10 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 17 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== April 24 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 1 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center><br />
== May 8 ==<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBA'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title:<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract:<br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Madison_Math_Circle&diff=4914Madison Math Circle2013-01-22T20:29:43Z<p>Clement: /* Talks this semester, Spring 2013 */</p>
<hr />
<div>=What is it?=<br />
The UW-Madison math department organizes a series of talks aimed at interested middle school and high school students throughout the semester. Our goal is to present fun talks that give students a taste of interesting ideas in math and science. In the past we've had talks about plasma and weather in outer space, the way images are shaded in video games, and how credit card numbers are securely transmitted over the internet. <br />
<br />
For more information about Math Circles see http://www.mathcircles.org/<br />
<br />
After each talk we'll have snacks provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was recently featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=Alright, I want to come!=<br />
Great! If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus (and tell us how many people are coming so we can purchase the appropriate amount of pizza!)<br />
<br />
If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in Van Vleck Hall room B223, on the UW-Madison campus). <br />
'''We'd also appreciate if you click the "Register" link for the date that your group will be attending.'''<br />
<br />
'''Parking''' on campus is free at most (but not all) outdoor parking lots after 4:30pm. Parking lots #25 (Elizabeth Waters) and #26 (Observatory Hill) may be the most convenient. These parking lots are on Observatory Drive just west of the intersection with Charter Street. If you park there, then walk east along Observatory Drive to the top of Bascom Hill, then turn right to Van Vleck Hall. See also the map at http://www.map.wisc.edu/?keyword=public%20parking<br />
<br />
=Questions?=<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Ed Dewey, David Dynerman, Nathan Clement, Lalit Jain, Kevin Zamzow, Betsy Stovall, and Philip Matchett Wood): [mailto:math-circle@math.wisc.edu math-circle@math.wisc.edu].<br />
<br />
==Talks this semester, Spring 2013==<br />
More details about each talk to follow soon. All talks are at '''6pm in Van Vleck Hall, room B223''', unless otherwise noted.<br />
<br />
<center><br />
<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date and RSVP links!! Speaker !! Topic (click for more info)<br />
|-<br />
| February 4, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dGZ0SU9ydkdITDd2MFE5c3BlcHVES2c6MQ#gid=0 Register!] || Jonathan Kane || [[#Infinitely Often | Infinitely Often]] <br />
|-<br />
| February 11, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dEo4eHJxY0NfdWpMZGZtQjU5Wmt1Rnc6MA#gid=0 Register!] || Jean-Luc Thiffeault || [[#TBA | TBA]] <br />
|-<br />
| February 18, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dEZUcmcta3NaZlk1eGZhZDRCNXMzVmc6MA#gid=0 Register!] || Alison Gordon || [[#TBA | TBA]] <br />
|-<br />
| February 25, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDBTRXlTcTVpRlJfdEVlZ2t0dk1nLXc6MA#gid=0 Register!] || Mimansa Vahia || [[#TBA | TBA]] <br />
|-<br />
| March 4, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dG1LR2NoeElhVktzSjRudXltX3ZjeWc6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| March 11, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDhtZDFrT3hZbXpkcEt3TXYzVl9sVHc6MA#gid=0 Register!] || Greg Shinault || [[#TBA | TBA]] <br />
|-<br />
| March 18, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dGI0NjBrTkpkcElUQzU2TWVmT29zOEE6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| March 25, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dHZwbnZoM2xPUF90YmNfVXg3TkJzWkE6MA#gid=0 Register!] || Spring Break || No Meeting <br />
|-<br />
| April 1, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dHpScXdyQ2RtUUtOY3BVeE9QSVBHTlE6MA#gid=0 Register!] || Uri Andrews || [[#TBA | TBA]] <br />
|-<br />
| April 8, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dE1LWUZXT2JuVVkzZ3FNa2xUMWJKSHc6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| April 15, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDdQcnE0aGdPQm94RGlUeTZFOWtJSVE6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| April 22, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dFV6TlItZXZMMGg0YkdPZVE1TVl5U1E6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| April 29, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dHpaQlFrYnE4TVRZS0tkWG5ONzRYbVE6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|}<br />
<br />
</center><br />
<br />
===Infinitely Often===<br />
<br />
<span style="background:#00FF00">February 4th, 2013, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
''' Infinitely Often'''<br />
<br />
So you think you can add two numbers, three number, even a lot of numbers together? Well, can you add an infinite number of numbers together? <br />
See how thinking about infinite processes can be used to add infinite sums, evaluate repeating decimals, understand infinite continued fractions, and calculate areas and volumes. Also see what strange things can go wrong when dealing with infinity.<br />
<br />
=== TBA ===<br />
<br />
'''To Be Announced:'''<br />
Keep an eye out---we'll have more information soon!<br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Madison_Math_Circle&diff=4913Madison Math Circle2013-01-22T20:28:13Z<p>Clement: /* Talks this semester, Spring 2013 */</p>
<hr />
<div>=What is it?=<br />
The UW-Madison math department organizes a series of talks aimed at interested middle school and high school students throughout the semester. Our goal is to present fun talks that give students a taste of interesting ideas in math and science. In the past we've had talks about plasma and weather in outer space, the way images are shaded in video games, and how credit card numbers are securely transmitted over the internet. <br />
<br />
For more information about Math Circles see http://www.mathcircles.org/<br />
<br />
After each talk we'll have snacks provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was recently featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=Alright, I want to come!=<br />
Great! If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus (and tell us how many people are coming so we can purchase the appropriate amount of pizza!)<br />
<br />
If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in Van Vleck Hall room B223, on the UW-Madison campus). <br />
'''We'd also appreciate if you click the "Register" link for the date that your group will be attending.'''<br />
<br />
'''Parking''' on campus is free at most (but not all) outdoor parking lots after 4:30pm. Parking lots #25 (Elizabeth Waters) and #26 (Observatory Hill) may be the most convenient. These parking lots are on Observatory Drive just west of the intersection with Charter Street. If you park there, then walk east along Observatory Drive to the top of Bascom Hill, then turn right to Van Vleck Hall. See also the map at http://www.map.wisc.edu/?keyword=public%20parking<br />
<br />
=Questions?=<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Ed Dewey, David Dynerman, Nathan Clement, Lalit Jain, Kevin Zamzow, Betsy Stovall, and Philip Matchett Wood): [mailto:math-circle@math.wisc.edu math-circle@math.wisc.edu].<br />
<br />
==Talks this semester, Spring 2013==<br />
More details about each talk to follow soon. All talks are at '''6pm in Van Vleck Hall, room B223''', unless otherwise noted.<br />
<br />
<center><br />
<br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date and RSVP links!! Speaker !! Topic (click for more info)<br />
|-<br />
| February 4, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dGZ0SU9ydkdITDd2MFE5c3BlcHVES2c6MQ#gid=0 Register!] || Jonathan Kane || [[#Infinitely Often | Infinitely Often]] <br />
|-<br />
| February 11, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dEo4eHJxY0NfdWpMZGZtQjU5Wmt1Rnc6MA#gid=0 Register!] || Jean-Luc Thiffeault || [[#TBA | TBA]] <br />
|-<br />
| February 18, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dEZUcmcta3NaZlk1eGZhZDRCNXMzVmc6MA#gid=0 Register!] || Alison Gordon || [[#TBA | TBA]] <br />
|-<br />
| February 25, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDBTRXlTcTVpRlJfdEVlZ2t0dk1nLXc6MA#gid=0 Register!] || Mimansa Vahia || [[#TBA | TBA]] <br />
|-<br />
| March 4, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dG1LR2NoeElhVktzSjRudXltX3ZjeWc6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| March 11, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dG1LR2NoeElhVktzSjRudXltX3ZjeWc6MA#gid=0 Register!] || Greg Shinault || [[#TBA | TBA]] <br />
|-<br />
| March 18, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dGI0NjBrTkpkcElUQzU2TWVmT29zOEE6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| March 25, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dHZwbnZoM2xPUF90YmNfVXg3TkJzWkE6MA#gid=0 Register!] || Spring Break || No Meeting <br />
|-<br />
| April 1, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dHpScXdyQ2RtUUtOY3BVeE9QSVBHTlE6MA#gid=0 Register!] || Uri Andrews || [[#TBA | TBA]] <br />
|-<br />
| April 8, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dE1LWUZXT2JuVVkzZ3FNa2xUMWJKSHc6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| April 15, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDdQcnE0aGdPQm94RGlUeTZFOWtJSVE6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| April 22, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dFV6TlItZXZMMGg0YkdPZVE1TVl5U1E6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|-<br />
| April 29, 2013 [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dHpaQlFrYnE4TVRZS0tkWG5ONzRYbVE6MA#gid=0 Register!] || TBA || [[#TBA | TBA]] <br />
|}<br />
<br />
</center><br />
<br />
===Infinitely Often===<br />
<br />
<span style="background:#00FF00">February 4th, 2013, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
''' Infinitely Often'''<br />
<br />
So you think you can add two numbers, three number, even a lot of numbers together? Well, can you add an infinite number of numbers together? <br />
See how thinking about infinite processes can be used to add infinite sums, evaluate repeating decimals, understand infinite continued fractions, and calculate areas and volumes. Also see what strange things can go wrong when dealing with infinity.<br />
<br />
=== TBA ===<br />
<br />
'''To Be Announced:'''<br />
Keep an eye out---we'll have more information soon!<br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Shimura_Varieties_Reading_Group&diff=4549Shimura Varieties Reading Group2012-10-16T16:19:32Z<p>Clement: /* Fall 2012 Semester */</p>
<hr />
<div>*'''Lecture:''' Tuesdays, 3:45pm–4:45pm, in VV B321<br />
*'''Chitchat:''' Thursdays, 3:45pm 'til done, in the 9th floor lounge (except during faculty meetings).<br />
<br />
We will be reading through Milne's [http://jmilne.org/math/xnotes/svi.html ''Introduction to Shimura Varieties''] and understanding the necessary prerequisites. Participants will be asked to present on various topics.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Topic '''<br />
|- <br />
<br />
| bgcolor="#E0E0E0"| Oct 9 (Tues.)<br />
| bgcolor="#F0B0B0"| Sean Rostami <br />
| bgcolor="#BCE2FE"| Background on Riemannian geometry<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 16 (Tues.)<br />
| bgcolor="#F0B0B0"| Sean Rostami <br />
| bgcolor="#BCE2FE"| Background on Riemannian geometry (cont.)<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 23 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"| Background on Hermitian geometry<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 30 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"| Continuation / Hermitian symmetric domains<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 6 (Tues.)<br />
| bgcolor="#F0B0B0"| Peng Yu <br />
| bgcolor="#BCE2FE"| Hodge structures (Milne §2)<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 13 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"| Locally symmetric varieties (Milne §3)<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 20 (Tues.)<br />
| bgcolor="#F0B0B0"| Nathan Clement<br />
| bgcolor="#BCE2FE"| tba<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 27 (Tues.)<br />
| bgcolor="#F0B0B0"| tbd<br />
| bgcolor="#BCE2FE"| tba<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 4 (Tues.)<br />
| bgcolor="#F0B0B0"| tbd<br />
| bgcolor="#BCE2FE"| tba<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 11 (Tues.)<br />
| bgcolor="#F0B0B0"| tbd<br />
| bgcolor="#BCE2FE"| tba<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Shimura_Varieties_Reading_Group&diff=4548Shimura Varieties Reading Group2012-10-16T16:19:10Z<p>Clement: /* Fall 2012 Semester */</p>
<hr />
<div>*'''Lecture:''' Tuesdays, 3:45pm–4:45pm, in VV B321<br />
*'''Chitchat:''' Thursdays, 3:45pm 'til done, in the 9th floor lounge (except during faculty meetings).<br />
<br />
We will be reading through Milne's [http://jmilne.org/math/xnotes/svi.html ''Introduction to Shimura Varieties''] and understanding the necessary prerequisites. Participants will be asked to present on various topics.<br />
<br />
== Fall 2012 Semester ==<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Topic '''<br />
|- <br />
<br />
| bgcolor="#E0E0E0"| Oct 9 (Tues.)<br />
| bgcolor="#F0B0B0"| Sean Rostami <br />
| bgcolor="#BCE2FE"| Background on Riemannian geometry<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 16 (Tues.)<br />
| bgcolor="#F0B0B0"| Sean Rostami <br />
| bgcolor="#BCE2FE"| Background on Riemannian geometry<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 23 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"| Background on Hermitian geometry<br />
|- <br />
| bgcolor="#E0E0E0"| Oct 30 (Tues.)<br />
| bgcolor="#F0B0B0"| Lalit Jain<br />
| bgcolor="#BCE2FE"| Continuation / Hermitian symmetric domains<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 6 (Tues.)<br />
| bgcolor="#F0B0B0"| Peng Yu <br />
| bgcolor="#BCE2FE"| Hodge structures (Milne §2)<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 13 (Tues.)<br />
| bgcolor="#F0B0B0"| Yueke Hu<br />
| bgcolor="#BCE2FE"| Locally symmetric varieties (Milne §3)<br />
|- <br />
| bgcolor="#E0E0E0"| Nov 20 (Tues.)<br />
| bgcolor="#F0B0B0"| Nathan Clement<br />
| bgcolor="#BCE2FE"| tba<br />
|-<br />
| bgcolor="#E0E0E0"| Nov 27 (Tues.)<br />
| bgcolor="#F0B0B0"| tbd<br />
| bgcolor="#BCE2FE"| tba<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 4 (Tues.)<br />
| bgcolor="#F0B0B0"| tbd<br />
| bgcolor="#BCE2FE"| tba<br />
|- <br />
| bgcolor="#E0E0E0"| Dec 11 (Tues.)<br />
| bgcolor="#F0B0B0"| tbd<br />
| bgcolor="#BCE2FE"| tba<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Organizers ==<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Sean Rostami<br />
<br />
----<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Madison_Math_Circle&diff=4418Madison Math Circle2012-09-26T23:11:03Z<p>Clement: </p>
<hr />
<div>=What is it?=<br />
The UW-Madison math department organizes a series of talks aimed at interested middle school and high school students throughout the semester. Our goal is to present fun talks that give students a taste of interesting ideas in math and science. In the past we've had talks about plasma and weather in outer space, the way images are shaded in video games, and how credit card numbers are securely transmitted over the internet. <br />
<br />
For more information about Math Circles see http://www.mathcircles.org/<br />
<br />
After each talk we'll have '''pizza''' provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was recently featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=Alright, I want to come!=<br />
Great! If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus (and tell us how many people are coming so we can purchase the appropriate amount of pizza!)<br />
<br />
If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in Van Vleck Hall room B223, on the UW-Madison campus). '''We'd also appreciate if you [mailto:math-circle@math.wisc.edu email] us the dates that your group will be attending'''.<br />
<br />
'''Parking''' on campus is free at most (but not all) outdoor parking lots after 4:30pm. Parking lots #25 (Elizabeth Waters) and #26 (Observatory Hill) may be the most convenient. These parking lots are on Observatory Drive just west of the intersection with Charter Street. If you park there, then walk east along Observatory Drive to the top of Bascom Hill, then turn right to Van Vleck Hall. See also the map at http://www.map.wisc.edu/?keyword=public%20parking<br />
<br />
=Questions?=<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Ed Dewey, David Dynerman, Nathan Clement, Lalit Jain, Kevin Zamzow, and Philip Matchett Wood): [mailto:math-circle@math.wisc.edu math-circle@math.wisc.edu].<br />
<br />
==Talks this semester, Fall 2012==<br />
More details about each talk to follow soon. All talks are at '''6pm in Van Vleck Hall, room B223''', unless otherwise noted.<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date !! Speaker !! Talk (click for more info) !! Event<br />
|-<br />
| October 1, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?pli=1&formkey=dFNDTVA0UHdJNXJ4ejlPNHE4WVQ2dlE6MQ#gid=0 Register] || Richard Askey || [[#Counting: to and then beyond the binomial theorem | Counting: to and then beyond the binomial theorem ]] || Combined High School Math Night & Math Circle <br />
|-<br />
| October 8, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dGRvYm1oUkNOQVBYT1JfZjZ3a1JlWGc6MQ#gid=0 Register] || Philip Matchett Wood || [[#Proofs with Parity | Proofs with Parity]] || Math Circle<br />
|-<br />
| October 15, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dFYtMlJxa2ZkeGNSSmVjVm9jWGlQTEE6MA#gid=0 Register] || Philip Matchett Wood || [[#Fun Flipping Coins | Fun Flipping Coins]] || Math Circle<br />
|-<br />
| October 22, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dFlNTXNMZk9vZ3lPYXQ5LUE1SHNyYVE6MA#gid=0 Register] || Saverio Spagnolie || [[#Random walks: how gamblers lose and microbes diffuse | Random walks: how gamblers lose and microbes diffuse]] || Combined High School Math Night & Math Circle <br />
|-<br />
| October 29, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDlUWjZvZjFDcV9VeG1DRFpCbER2dEE6MA#gid=0 Register] || Beth Skubak || [[#Non-Euclidean geometry| non-Euclidean geometry]] || Math Circle<br />
|-<br />
| November 5, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDRoQnFkXzItbXZERXhGNjlfbFFIdGc6MA#gid=0 Register] || Mihai Stoiciu || [[#Rubik's Cubes| Rubik's Cubes]] || Combined High School Math Night & Math Circle<br />
|-<br />
| November 12, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dC1KV281aGxnVGViMEVtZ19MaVR6R1E6MA#gid=0 Register] || Alison Gordon || [[#TBA| TBA]] ||<br />
|-<br />
| November 19, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDV0ckU4WTVRTnhYUXZuSlExb05SMVE6MA#gid=0 Register] || Gregory Shinault || [[#Tiling Problems| Tiling Problems]] ||<br />
|-<br />
| November 26, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dEhnM2MwM095SGpVb1o2YWZMV0xTYXc6MA#gid=0 Register] || Claire Blackman || [[#TBA| TBA]] ||<br />
|}<br />
<br />
</center><br />
<br />
<br />
=== Counting: to and then beyond the binomial theorem ===<br />
<br />
<span style="background:#00FF00">October 8th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Richard Askey.''' How many ways can zeros and ones be put into n places?<br />
It is easy to see this is 2^n. It is also easy to show that there<br />
are n! ways of ordering n different objects. There are problems<br />
which go beyond these two. How many ways can k zeros and n-k ones be<br />
put into n places? How many inversions are there in the n! ways of<br />
ordering the numbers 1,2,...,n. [123 has no inversions, 132 has one,<br />
312 has two, 321 has three]. These will lead us to what has been<br />
called "The world of q".<br />
<br />
<br />
=== Proofs with Parity ===<br />
<br />
<span style="background:#00FF00">October 8th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Philip Matchett Wood.''' Parity---matching objects up in pairs---is a surprisingly useful tool for answering math questions. Bring a pencil and notebook, and we will explore many different situations where parity plays a role.<br />
<br />
=== Fun Flipping Coins ===<br />
<br />
<span style="background:#00FF00">October 15th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Philip Matchett Wood.''' Flip a coin many times, and what happens? A whole mess of cool probability, that what! Bring a notebook, pencil, and some sharp common sense. <br />
<br />
<br />
=== Random walks: how gamblers lose and microbes diffuse ===<br />
<br />
<span style="background:#00FF00">October 22nd, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Saverio Spagnolie.''' We will explore one of the most famous mathematical models of random activity, the random walk. After an introduction to some basic ideas from probability, we will see that the same mathematical tools can be used to study completely different types of problems. In particular, we will find that there are no gambling strategies that can be used to beat the casino, and that tiny microorganisms can't stop moving even if they want to!<br />
<br />
<br />
=== Non-Euclidean geometry ===<br />
<br />
<span style="background:#00FF00">October 29th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Beth Skubak.''' Non-Euclidean geometry.<br />
<br />
<br />
=== Rubik's Cubes ===<br />
<br />
<span style="background:#00FF00">November 5th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Mihai Stoiciu.''' Rubik's Cubes. Some people describe mathematics as the science of patterns. We will explore patterns, permutations, orientations, and counting with the famous Rubik's Cube.<br />
<br />
==Talks Next semester, Spring 2013==<br />
More details about each talk to follow soon. All talks are at '''6pm in Van Vleck Hall, room B223''', unless otherwise noted.<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date !! Speaker !! Talk (click for more info)<br />
|-<br />
| February 4, 2013 || Jonathan Kane || [[#TBA | TBA]] <br />
|-<br />
| February 1, 2013 || Jean-Luc Thiffeault || [[#TBA | TBA]] <br />
|-<br />
|-<br />
| More TBA || ||<br />
|}<br />
<br />
</center><br />
<br />
=== TBA ===<br />
<br />
'''To Be Announced:'''<br />
Keep an eye out---we'll have more information soon!<br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Madison_Math_Circle&diff=4417Madison Math Circle2012-09-26T23:05:14Z<p>Clement: </p>
<hr />
<div>=What is it?=<br />
The UW-Madison math department organizes a series of talks aimed at interested middle school and high school students throughout the semester. Our goal is to present fun talks that give students a taste of interesting ideas in math and science. In the past we've had talks about plasma and weather in outer space, the way images are shaded in video games, and how credit card numbers are securely transmitted over the internet. <br />
<br />
For more information about Math Circles see http://www.mathcircles.org/<br />
<br />
After each talk we'll have '''pizza''' provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was recently featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=Alright, I want to come!=<br />
Great! If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus (and tell us how many people are coming so we can purchase the appropriate amount of pizza!)<br />
<br />
If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in Van Vleck Hall room B223, on the UW-Madison campus). '''We'd also appreciate if you [mailto:math-circle@math.wisc.edu email] us the dates that your group will be attending'''.<br />
<br />
'''Parking''' on campus is free at most (but not all) outdoor parking lots after 4:30pm. Parking lots #25 (Elizabeth Waters) and #26 (Observatory Hill) may be the most convenient. These parking lots are on Observatory Drive just west of the intersection with Charter Street. If you park there, then walk east along Observatory Drive to the top of Bascom Hill, then turn right to Van Vleck Hall. See also the map at http://www.map.wisc.edu/?keyword=public%20parking<br />
<br />
=Questions?=<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Ed Dewey, David Dynerman, Nathan Clement, Lalit Jain, Kevin Zamzow, and Philip Matchett Wood): [mailto:math-circle@math.wisc.edu math-circle@math.wisc.edu].<br />
<br />
==Talks this semester, Fall 2012==<br />
More details about each talk to follow soon. All talks are at '''6pm in Van Vleck Hall, room B223''', unless otherwise noted.<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date !! Speaker !! Talk (click for more info) !! Event<br />
|-<br />
| October 1, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?pli=1&formkey=dFNDTVA0UHdJNXJ4ejlPNHE4WVQ2dlE6MQ#gid=0 Register] || Richard Askey || [[#Counting: to and then beyond the binomial theorem | Counting: to and then beyond the binomial theorem ]] || Combined High School Math Night & Math Circle <br />
|-<br />
| October 8, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dGRvYm1oUkNOQVBYT1JfZjZ3a1JlWGc6MQ#gid=0 Register] || Philip Matchett Wood || [[#Proofs with Parity | Proofs with Parity]] || Math Circle<br />
|-<br />
| October 15, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dFYtMlJxa2ZkeGNSSmVjVm9jWGlQTEE6MA#gid=0 Register] || Philip Matchett Wood || [[#Fun Flipping Coins | Fun Flipping Coins]] || Math Circle<br />
|-<br />
| October 22, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dFlNTXNMZk9vZ3lPYXQ5LUE1SHNyYVE6MA#gid=0 Register] || Saverio Spagnolie || [[#Random walks: how gamblers lose and microbes diffuse | Random walks: how gamblers lose and microbes diffuse]] || Combined High School Math Night & Math Circle <br />
|-<br />
| October 29, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDlUWjZvZjFDcV9VeG1DRFpCbER2dEE6MA#gid=0 Register] || Beth Skubak || [[#Non-Euclidean geometry| non-Euclidean geometry]] || Math Circle<br />
|-<br />
| November 5, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dDRoQnFkXzItbXZERXhGNjlfbFFIdGc6MA#gid=0 Register] || Mihai Stoiciu || [[#Rubik's Cubes| Rubik's Cubes]] || Combined High School Math Night & Math Circle<br />
|-<br />
| November 12, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?formkey=dC1KV281aGxnVGViMEVtZ19MaVR6R1E6MA#gid=0 Register] || Alison Gordon || [[#TBA| TBA]] ||<br />
|-<br />
| November 19, 2012: [ Register] || Gregory Shinault || [[#Tiling Problems| Tiling Problems]] ||<br />
|-<br />
| November 26, 2012: [ Register] || Claire Blackman || [[#TBA| TBA]] ||<br />
|}<br />
<br />
</center><br />
<br />
<br />
=== Counting: to and then beyond the binomial theorem ===<br />
<br />
<span style="background:#00FF00">October 8th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Richard Askey.''' How many ways can zeros and ones be put into n places?<br />
It is easy to see this is 2^n. It is also easy to show that there<br />
are n! ways of ordering n different objects. There are problems<br />
which go beyond these two. How many ways can k zeros and n-k ones be<br />
put into n places? How many inversions are there in the n! ways of<br />
ordering the numbers 1,2,...,n. [123 has no inversions, 132 has one,<br />
312 has two, 321 has three]. These will lead us to what has been<br />
called "The world of q".<br />
<br />
<br />
=== Proofs with Parity ===<br />
<br />
<span style="background:#00FF00">October 8th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Philip Matchett Wood.''' Parity---matching objects up in pairs---is a surprisingly useful tool for answering math questions. Bring a pencil and notebook, and we will explore many different situations where parity plays a role.<br />
<br />
=== Fun Flipping Coins ===<br />
<br />
<span style="background:#00FF00">October 15th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Philip Matchett Wood.''' Flip a coin many times, and what happens? A whole mess of cool probability, that what! Bring a notebook, pencil, and some sharp common sense. <br />
<br />
<br />
=== Random walks: how gamblers lose and microbes diffuse ===<br />
<br />
<span style="background:#00FF00">October 22nd, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Saverio Spagnolie.''' We will explore one of the most famous mathematical models of random activity, the random walk. After an introduction to some basic ideas from probability, we will see that the same mathematical tools can be used to study completely different types of problems. In particular, we will find that there are no gambling strategies that can be used to beat the casino, and that tiny microorganisms can't stop moving even if they want to!<br />
<br />
<br />
=== Non-Euclidean geometry ===<br />
<br />
<span style="background:#00FF00">October 29th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Beth Skubak.''' Non-Euclidean geometry.<br />
<br />
<br />
=== Rubik's Cubes ===<br />
<br />
<span style="background:#00FF00">November 5th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Mihai Stoiciu.''' Rubik's Cubes. Some people describe mathematics as the science of patterns. We will explore patterns, permutations, orientations, and counting with the famous Rubik's Cube.<br />
<br />
==Talks Next semester, Spring 2013==<br />
More details about each talk to follow soon. All talks are at '''6pm in Van Vleck Hall, room B223''', unless otherwise noted.<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date !! Speaker !! Talk (click for more info)<br />
|-<br />
| February 4, 2013 || Jonathan Kane || [[#TBA | TBA]] <br />
|-<br />
| February 1, 2013 || Jean-Luc Thiffeault || [[#TBA | TBA]] <br />
|-<br />
|-<br />
| More TBA || ||<br />
|}<br />
<br />
</center><br />
<br />
=== TBA ===<br />
<br />
'''To Be Announced:'''<br />
Keep an eye out---we'll have more information soon!<br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Madison_Math_Circle&diff=4416Madison Math Circle2012-09-26T21:57:02Z<p>Clement: </p>
<hr />
<div>=What is it?=<br />
The UW-Madison math department organizes a series of talks aimed at interested middle school and high school students throughout the semester. Our goal is to present fun talks that give students a taste of interesting ideas in math and science. In the past we've had talks about plasma and weather in outer space, the way images are shaded in video games, and how credit card numbers are securely transmitted over the internet. <br />
<br />
For more information about Math Circles see http://www.mathcircles.org/<br />
<br />
After each talk we'll have '''pizza''' provided by the Mathematics Department, and students will have an opportunity to mingle and chat with the speaker and with other participants, to ask questions about some of the topics that have been discussed, and also about college, careers in science, etc.<br />
<br />
'''The Madison Math circle was recently featured in Wisconsin State Journal:''' http://host.madison.com/wsj/news/local/education/local_schools/school-spotlight-madison-math-circle-gives-young-students-a-taste/article_77f5c042-0b3d-11e1-ba5f-001cc4c03286.html<br />
<br />
=Alright, I want to come!=<br />
Great! If you are a student, we hope you will tell other interested students about these talks, and speak with your parents or with your teacher about organizing a car pool to the UW campus (and tell us how many people are coming so we can purchase the appropriate amount of pizza!)<br />
<br />
If you are a parent or a teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in Van Vleck Hall room B223, on the UW-Madison campus). '''We'd also appreciate if you [mailto:math-circle@math.wisc.edu email] us the dates that your group will be attending'''.<br />
<br />
'''Parking''' on campus is free at most (but not all) outdoor parking lots after 4:30pm. Parking lots #25 (Elizabeth Waters) and #26 (Observatory Hill) may be the most convenient. These parking lots are on Observatory Drive just west of the intersection with Charter Street. If you park there, then walk east along Observatory Drive to the top of Bascom Hill, then turn right to Van Vleck Hall. See also the map at http://www.map.wisc.edu/?keyword=public%20parking<br />
<br />
=Questions?=<br />
If you have any questions, suggestions for topics, or so on, just email the '''organizers''' (Ed Dewey, David Dynerman, Nathan Clement, Lalit Jain, Kevin Zamzow, and Philip Matchett Wood): [mailto:math-circle@math.wisc.edu math-circle@math.wisc.edu].<br />
<br />
==Talks this semester, Fall 2012==<br />
More details about each talk to follow soon. All talks are at '''6pm in Van Vleck Hall, room B223''', unless otherwise noted.<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date !! Speaker !! Talk (click for more info) !! Event<br />
|-<br />
| October 1, 2012: [https://docs.google.com/a/wisc.edu/spreadsheet/viewform?pli=1&formkey=dFNDTVA0UHdJNXJ4ejlPNHE4WVQ2dlE6MQ#gid=0 Register] || Richard Askey || [[#Counting: to and then beyond the binomial theorem | Counting: to and then beyond the binomial theorem ]] || Combined High School Math Night & Math Circle <br />
|-<br />
| October 8, 2012 || Philip Matchett Wood || [[#Proofs with Parity | Proofs with Parity]] || Math Circle<br />
|-<br />
| October 15, 2012 || Philip Matchett Wood || [[#Fun Flipping Coins | Fun Flipping Coins]] || Math Circle<br />
|-<br />
| October 22, 2012 || Saverio Spagnolie || [[#Random walks: how gamblers lose and microbes diffuse | Random walks: how gamblers lose and microbes diffuse]] || Combined High School Math Night & Math Circle <br />
|-<br />
| October 29, 2012 || Beth Skubak || [[#Non-Euclidean geometry| non-Euclidean geometry]] || Math Circle<br />
|-<br />
| November 5, 2012 || Mihai Stoiciu || [[#Rubik's Cubes| Rubik's Cubes]] || Combined High School Math Night & Math Circle<br />
|-<br />
| November 12, 2012 || Alison Gordon || [[#TBA| TBA]] ||<br />
|-<br />
| November 19, 2012 || Gregory Shinault || [[#Tiling Problems| Tiling Problems]] ||<br />
|-<br />
| November 26, 2012 || Claire Blackman || [[#TBA| TBA]] ||<br />
|}<br />
<br />
</center><br />
<br />
<br />
=== Counting: to and then beyond the binomial theorem ===<br />
<br />
<span style="background:#00FF00">October 8th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Richard Askey.''' How many ways can zeros and ones be put into n places?<br />
It is easy to see this is 2^n. It is also easy to show that there<br />
are n! ways of ordering n different objects. There are problems<br />
which go beyond these two. How many ways can k zeros and n-k ones be<br />
put into n places? How many inversions are there in the n! ways of<br />
ordering the numbers 1,2,...,n. [123 has no inversions, 132 has one,<br />
312 has two, 321 has three]. These will lead us to what has been<br />
called "The world of q".<br />
<br />
<br />
=== Proofs with Parity ===<br />
<br />
<span style="background:#00FF00">October 8th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Philip Matchett Wood.''' Parity---matching objects up in pairs---is a surprisingly useful tool for answering math questions. Bring a pencil and notebook, and we will explore many different situations where parity plays a role.<br />
<br />
=== Fun Flipping Coins ===<br />
<br />
<span style="background:#00FF00">October 15th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Philip Matchett Wood.''' Flip a coin many times, and what happens? A whole mess of cool probability, that what! Bring a notebook, pencil, and some sharp common sense. <br />
<br />
<br />
=== Random walks: how gamblers lose and microbes diffuse ===<br />
<br />
<span style="background:#00FF00">October 22nd, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Saverio Spagnolie.''' We will explore one of the most famous mathematical models of random activity, the random walk. After an introduction to some basic ideas from probability, we will see that the same mathematical tools can be used to study completely different types of problems. In particular, we will find that there are no gambling strategies that can be used to beat the casino, and that tiny microorganisms can't stop moving even if they want to!<br />
<br />
<br />
=== Non-Euclidean geometry ===<br />
<br />
<span style="background:#00FF00">October 29th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Beth Skubak.''' Non-Euclidean geometry.<br />
<br />
<br />
=== Rubik's Cubes ===<br />
<br />
<span style="background:#00FF00">November 5th, 2012, '''6pm''', Van Vleck Hall room B223, UW-Madison campus</span><br />
<br />
'''Presenter: Mihai Stoiciu.''' Rubik's Cubes. Some people describe mathematics as the science of patterns. We will explore patterns, permutations, orientations, and counting with the famous Rubik's Cube.<br />
<br />
==Talks Next semester, Spring 2013==<br />
More details about each talk to follow soon. All talks are at '''6pm in Van Vleck Hall, room B223''', unless otherwise noted.<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date !! Speaker !! Talk (click for more info)<br />
|-<br />
| February 4, 2013 || Jonathan Kane || [[#TBA | TBA]] <br />
|-<br />
| February 1, 2013 || Jean-Luc Thiffeault || [[#TBA | TBA]] <br />
|-<br />
|-<br />
| More TBA || ||<br />
|}<br />
<br />
</center><br />
<br />
=== TBA ===<br />
<br />
'''To Be Announced:'''<br />
Keep an eye out---we'll have more information soon!<br />
<br />
==[[Archived Math Circle Material]]==<br />
[[Archived Math Circle Material]]</div>Clementhttps://wiki.math.wisc.edu/index.php?title=User:Clement&diff=3943User:Clement2012-06-04T15:59:02Z<p>Clement: New page: I hate seeing my signature appear in red everywhere I sign some edit.</p>
<hr />
<div>I hate seeing my signature appear in red everywhere I sign some edit.</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Summer_stacks&diff=3942Summer stacks2012-06-04T15:52:21Z<p>Clement: /* Chapter 2 */</p>
<hr />
<div>This is the page for the 2012 Summer stacks reading group. <br />
<br />
== Resources ==<br />
<br />
The book in progress of Behrend, Fulton, Kresch and other people is available here: [http://www.math.uzh.ch/index.php?pr_vo_det&key1=1287&key2=580&no_cache=1] <br />
<br />
Thanks to Sukhendu we have a copy of Champs algebriques" by Laumon and Moret-Bailly, currently in Ed's office.<br />
<br />
The Stacks Project: [http://www.math.columbia.edu/algebraic_geometry/stacks-git/]<br />
<br />
== Milestones ==<br />
<br />
6/1 Finish Chapter 1<br />
<br />
6/14 Finish Chapter 2<br />
<br />
6/29 Finish Chapter 3<br />
<br />
7/14 Finish Chapter 4<br />
<br />
7/28 Finish Chapter 5<br />
<br />
== Comments, Questions and (hopefully) Answers ==<br />
<br />
=== Introduction=Chapter 1 ===<br />
Q: On page 5, the authors talk about the fundamental groupoid of a topological space. I'm not excellent with fiber products, so I'm having trouble seeing how the map m they exhibit really is a map m as in the definition of a groupoid. More precisely, why is it okay that it's only defined when we can concatenate the paths? I'm assuming that this is the whole point of the definition of groupoid, and I'm missing it... -Christelle<br />
<br />
A: I figured it out myself :) The fiber product is along s (source) and t (target), which I assume means that the elements of the fiber product are pairs (f,g) such that target(f)=source(g). Thus it's okay for m to only be defined on those elements because that's all there is.<br />
<br />
Q: I'm finding the <math>\tilde{S}</math> construction in the segment on moduli space of triangles pretty confusing. Is it just (non-canonically) isomorphic to a disjoint union of 6 copies of <math>S</math>? (I'm emphasizing the non-canonicity thing since despite the notation it looks as though <math>\tilde{S}</math> ought to depend on <math>T</math> as well as <math>S</math> but I don't quite grok how that works) [[User:Dewey|Dewey]] 21:23, 26 May 2012 (UTC)<br />
<br />
A: <math>\tilde{S}</math> might be not isomorphic to a disjoint union of 6 copies of <math>S</math> at all. Take the example in the previous page: <math>S</math> being a circle, and X being a family of equilateral triangles which rotates by 120 in one revolution around the circle. The corresponding <math>\tilde{S}</math> is a NON-TRIVIAL principal <math>\mathfrak{S}_3</math> bundle over <math>S^1</math>. Imagine that you start from the point <math>(e^{0i},123)\in\tilde{S}</math> and walk along the base, when you return, you will arrive at <math>(e^{0i},231)</math>. Continue for another round, you get <math>(e^{0i},312)</math>. Yet another round you return to the starting point <math>(e^{0i},123)</math>. If you start with <math>(e^{0i},213)</math>, then you get the other three points in the fiber of the principal bundle. So <math>\tilde{S}</math> has two connected component, each is a 3-cover of the base circle. This is also consistent with your feeling that <math>\tilde{S}</math> should depend on <math>T</math> and <math>S</math>. -[http://www.math.wisc.edu/~dwang Dongning] 05:13, 29 May 2012 (UTC)<br />
<br />
Q: This question is sort of tangential, but working on the "moduli space of triangles section" now and I noticed something kind of funny. Usually saying that <math>\tilde{T}</math> is the moduli space of ordered triangles would just mean that there is a natural isomorphism from the functor <math>S \to \{X \to S\}</math> where <math>X \to S</math> is a family of ordered triangles on S, to the functor <math>Hom(-,\tilde{T})</math>. But here this is more structure. Since the morphisms in <math>\tilde{\mathfrak{T}}</math> are required to be isometries on each fiber there is actually a functor from <math>\tilde{\mathfrak{T}}</math> to the category <math>\tilde{T}-Top</math> of spaces over <math>\tilde{T}</math>, that is, the objects spaces with a specified maps to <math>\tilde{T}</math> and the morphisms are commutative triangles. Is there some way to phrase this in a way that is more like the traditional definition of a moduli space? Like, maybe replace <math>Hom(-,\tilde{T})</math> with the functor Top --> Cat sending <math>S</math> to the fully subcategory of <math>\tilde{T}-Top</math> consisting of morphisms <math>S \to \tilde{T}</math>? [[User:Dewey|Dewey]] 22:42, 27 May 2012 (UTC)<br />
<br />
Something similar is going on in the section on elliptic curves. Rather than look at a moduli functor we look at a category of families of elliptic curves. Interestingly the morphisms are all required to be ''cartesian'' commutative squares. This should somehow correspond to the fact that in the moduli functor setup, the map on hom-sets is defined using pullback. Maybe what is really giong on in the moduli space of triangles section is not that the map on fibers is required to be an isometry, but that this makes all the morphisms into Cartesian squares. <br />
<br />
A: I've been thinking about the fact that the diagrams have to be Cartesian too. Here is an elliptic curve example: Say you have a morphism from <math> E \to Spec(K) </math> to <math> E' \to Spec(K') </math>, by the Cartesian property this means that <math> E \times_{Spec(K)} Spec(K') </math> is isomorphic to <math>E'</math>. In other words, <math>E</math> and <math>E'</math> are the "same" elliptic curve, all we've done is a base change. It makes sense that in a moduli space there would be a map between an elliptic curve and the same elliptic curve over a field extension. In the case of triangles, requiring that the map be an isometry should similarly makes sure that it's the "same" triangle (okay, this is vague. but that's my feeling)--[[User:Vincent|Vincent]] 21:39, 29 May 2012 (UTC)<br />
<br />
<br />
Q: I think I'm confused about the groupoid coming from an atlas for an orbifold. On page 23 the book says that the map <math>R \to U \times U</math> is never injective unless X is just a manifold with its trivial orbifold structure. But consider the case <math> X = \mathbf{C}</math>, with a single patch. In that case R is given by triples <math>(z_1,z_2,\phi)</math> with <math>\phi</math> a germ of a holomorphic map from a neighbourhood of the first point to a neighbourhood of the second. But complex discs have a whole <math>SL_2(\mathbf{R})</math> of automorphisms, so the fiber of R over any point of <math>U \times U</math> should be a whole <math>SL_2(\mathbf{R})</math>, rather than a point. [[User:Dewey|Dewey]] 16:58, 28 May 2012 (UTC)<br />
<br />
A: Key point is that <math>\phi</math> is a map over X. In this case, where the coordinate patches are given by the identity <math>X \to X</math>, <math>\phi</math> is necessarily the identity map.<br />
<br />
Q: I (think I) solved problem 1.15, but to do it I needed to use the fact that the groups <math>G_\alpha</math> from the orbifold data are all finite. If you relax that condition and let them be infinite does anyone have a counterexample? I'm interested in this because supposedly orbifolds are analagous to DM stacks and when you relax the condition on the groups being infinit, but require them to be algebraic, you should get something like an Artin stack, so this infinite vs finite groups thing could be a big deal. Note: as far as the DM and Artin stacks thing goes, I have no idea what I am talking about.<br />
<br />
C: I think a lot of the problems where you find a map of groupoids satisfying conditions i and ii boil down to the following statement: Let A and B be two groups acting on a space X such that the actions of A and B commute and B acts faithfully. Then A acts on Y, the quotient of X by B, and there is a map of groupoids <math>(A \times B \times X \rightrightarrows X) \to (A \times Y \rightrightarrows Y)</math> satisfying conditions i and ii<br />
<br />
C: A note for those who have not messed around with the j-invariant before: at least over an algebraically closed field, the j invariant for a polynomial <math>y^2 = f(x)^3</math> depends only on the roots of f and their multiplicities.<br />
<br />
Q: On page 17 in the definition of a "modular family" the text says that the condition that any first order deformation of any fiber in one of the families C --> S is captured by a tangent vector on the base S, and goes on to say that this is like requiring that the map from S to the (nonexistent) moduli space of curves be etale. If the moduli space M existed, then a deformation of <math>C_s</math>, the fiber of C over <math>s\in S</math>, should correspond to a family <math>C' \to \mathrm{spec} k[\epsilon]/(\epsilon^2)</math> whose fiber over 0 is <math>C_s</math>. Saying that this deformation is captured by a tangent vector to S should be saying that this family over <math>k[\epsilon]/(\epsilon^2)</math> can be obtained by fibering <math>C \to S</math> with a map <math>\mathrm{spec}\, k[\epsilon]/(\epsilon^2) \to S</math>. On the other hand, a family over <math>k[\epsilon]/(\epsilon^2)</math> is the same thing as a tangent vector v in M, and saying that such a fiber can be captured by a tangent vector to S should mean that v is in the image of the map of tangent spaces induced by the map <math> S \to M </math> corresponding to the family <math> C \to S</math> (phew!). '''So:''' this claim sort of makes sense if asking for a map to be etale is like asking for it to induce a surjection on tangent spaces. Can someone who knows about etale maps say if that's right?<br />
<br />
C: Etale morphisms between finite type schemes are maps whose Jacobians are nonsingular (see Milne Etale Cohomology, Corollary 2.2). However this is much weaker than being surjective. If you knew some more information like what the dimension of the schemes was, you would be in business. --[[User:Jain|Jain]] 01:14, 30 May 2012 (UTC)<br />
<br />
C: This seems like a useful link on deformations. http://hilbertthm90.wordpress.com/2010/09/26/first-order-deformations/<br />
<br />
<br />
<br />
=== Chapter 2 ===<br />
<br />
Q: What does "locally of finite presentation" mean in the definition of flat topology? (Page 30, in the middle) --Marci 16:05, 31 May 2012 (UTC)<br />
<br />
A: An <math>R</math>-algebra <math>S</math> is finitely presented if it is the quotient of a polynomial ring over <math>R</math> in finitely many variables by a finitely generated ideal. If <math>X</math> and <math>Y</math> are schemes, then <math>f:X\rightarrow Y</math> is locally finitely presented if for any <math>x</math> in <math>X</math>, and <math>f(x)</math> in <math>Y</math>, there is an affine neighborhood of <math>x</math> that maps into an affine neighborhood of <math>f(x)</math> such that the resulting ring map is locally finitely presented. I think that if everything is locally Noetherian, this is the same as being locally finite type.--[[User:Jain|Jain]] 21:59, 3 June 2012 (UTC)<br />
<br />
Q: "The morphism from Mg,1 to Mg can be regarded as the universal curve." (on the top of page 34) What does that mean? --Marci 14:56, 31 May 2012 (UTC)<br />
<br />
A: Mg,1 should form a smooth family of connected genus g curves as a scheme over Mg for starters. From there the most tidy definition of universal curve I know seems very inaccessible: that Mg,1 is the family on Mg corresponding to the identity map from Mg to itself. --[[User:Clement|Clement]] 15:51, 4 June 2012 (UTC)<br />
<br />
Q: So how can we prove that a family (on one side of the moduli equivalence) corresponds to a certain map (on the other side of the moduli equivalence), other than that the fibers seem to be right? --[[User:Clement|Clement]] 15:51, 4 June 2012 (UTC)<br />
<br />
Q: I think there is some problem with Exercise 2.1 part b). The covering {1,...,n} X E--->S is not necessarily of degree n. Furthermore I think there is also an isomorphism between BPSL_n and P_n, where P_n is same as V_n, but now it is a projective bundle.--Marci 16:04, 31 May 2012 (UTC)<br />
<br />
Q: Why do we insist that these categories are fibered in groupoids? (I realize how frivolous this sounds, but I am having trouble understanding the intuition behind insisting that the fibers are groupoids.)<br />
<br />
A: For example groupoids naturally appear in glueing problems. Let us consider a scheme X over Spec R, and try to find deformations over Spec T, namely a scheme Y and an isomorphism f:X-->(the fiber product of Y and Spec R over Spec T). (Etale-)locally on X there exists always a such deformation, those are isomorphic, although globally sometimes does not. This thing is captured by the groupoids, locally you have plenty of candidate for extension, and they are isomorphic, although sometimes you cannot extend those.--Marci 14:42, 4 June 2012 (UTC)<br />
<br />
Q: Let me spam more. Instead of (s,s) should (s,s,id) appear in (2) on the top of Page 44? Also, I do not see (3), i only see (3) if the torsor E-->S is trivial. --Marci 14:53, 4 June 2012 (UTC)<br />
<br />
=== Chapter 3 ===<br />
<br />
=== Chapter 4 ===<br />
<br />
=== Chapter 5 ===<br />
<br />
== Summer plans ==<br />
<br />
If you feel like telling us your general plans for the summer, so that we'll know when you are around Madison, please do so here:<br />
<br />
Ed: Leaving June 2, back around August 1.<br />
<br />
Jeff: Leaving June 17, back July 8.<br />
<br />
Evan: Leaving May 22, back June 20.<br />
<br />
Christelle: Leaving June 24, back July 20, leaving August 4.<br />
<br />
David: Leaving June 17, back July 8. Leaving July 31, back August 14th.</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Summer_stacks&diff=3941Summer stacks2012-06-04T15:51:40Z<p>Clement: /* Chapter 2 */</p>
<hr />
<div>This is the page for the 2012 Summer stacks reading group. <br />
<br />
== Resources ==<br />
<br />
The book in progress of Behrend, Fulton, Kresch and other people is available here: [http://www.math.uzh.ch/index.php?pr_vo_det&key1=1287&key2=580&no_cache=1] <br />
<br />
Thanks to Sukhendu we have a copy of Champs algebriques" by Laumon and Moret-Bailly, currently in Ed's office.<br />
<br />
The Stacks Project: [http://www.math.columbia.edu/algebraic_geometry/stacks-git/]<br />
<br />
== Milestones ==<br />
<br />
6/1 Finish Chapter 1<br />
<br />
6/14 Finish Chapter 2<br />
<br />
6/29 Finish Chapter 3<br />
<br />
7/14 Finish Chapter 4<br />
<br />
7/28 Finish Chapter 5<br />
<br />
== Comments, Questions and (hopefully) Answers ==<br />
<br />
=== Introduction=Chapter 1 ===<br />
Q: On page 5, the authors talk about the fundamental groupoid of a topological space. I'm not excellent with fiber products, so I'm having trouble seeing how the map m they exhibit really is a map m as in the definition of a groupoid. More precisely, why is it okay that it's only defined when we can concatenate the paths? I'm assuming that this is the whole point of the definition of groupoid, and I'm missing it... -Christelle<br />
<br />
A: I figured it out myself :) The fiber product is along s (source) and t (target), which I assume means that the elements of the fiber product are pairs (f,g) such that target(f)=source(g). Thus it's okay for m to only be defined on those elements because that's all there is.<br />
<br />
Q: I'm finding the <math>\tilde{S}</math> construction in the segment on moduli space of triangles pretty confusing. Is it just (non-canonically) isomorphic to a disjoint union of 6 copies of <math>S</math>? (I'm emphasizing the non-canonicity thing since despite the notation it looks as though <math>\tilde{S}</math> ought to depend on <math>T</math> as well as <math>S</math> but I don't quite grok how that works) [[User:Dewey|Dewey]] 21:23, 26 May 2012 (UTC)<br />
<br />
A: <math>\tilde{S}</math> might be not isomorphic to a disjoint union of 6 copies of <math>S</math> at all. Take the example in the previous page: <math>S</math> being a circle, and X being a family of equilateral triangles which rotates by 120 in one revolution around the circle. The corresponding <math>\tilde{S}</math> is a NON-TRIVIAL principal <math>\mathfrak{S}_3</math> bundle over <math>S^1</math>. Imagine that you start from the point <math>(e^{0i},123)\in\tilde{S}</math> and walk along the base, when you return, you will arrive at <math>(e^{0i},231)</math>. Continue for another round, you get <math>(e^{0i},312)</math>. Yet another round you return to the starting point <math>(e^{0i},123)</math>. If you start with <math>(e^{0i},213)</math>, then you get the other three points in the fiber of the principal bundle. So <math>\tilde{S}</math> has two connected component, each is a 3-cover of the base circle. This is also consistent with your feeling that <math>\tilde{S}</math> should depend on <math>T</math> and <math>S</math>. -[http://www.math.wisc.edu/~dwang Dongning] 05:13, 29 May 2012 (UTC)<br />
<br />
Q: This question is sort of tangential, but working on the "moduli space of triangles section" now and I noticed something kind of funny. Usually saying that <math>\tilde{T}</math> is the moduli space of ordered triangles would just mean that there is a natural isomorphism from the functor <math>S \to \{X \to S\}</math> where <math>X \to S</math> is a family of ordered triangles on S, to the functor <math>Hom(-,\tilde{T})</math>. But here this is more structure. Since the morphisms in <math>\tilde{\mathfrak{T}}</math> are required to be isometries on each fiber there is actually a functor from <math>\tilde{\mathfrak{T}}</math> to the category <math>\tilde{T}-Top</math> of spaces over <math>\tilde{T}</math>, that is, the objects spaces with a specified maps to <math>\tilde{T}</math> and the morphisms are commutative triangles. Is there some way to phrase this in a way that is more like the traditional definition of a moduli space? Like, maybe replace <math>Hom(-,\tilde{T})</math> with the functor Top --> Cat sending <math>S</math> to the fully subcategory of <math>\tilde{T}-Top</math> consisting of morphisms <math>S \to \tilde{T}</math>? [[User:Dewey|Dewey]] 22:42, 27 May 2012 (UTC)<br />
<br />
Something similar is going on in the section on elliptic curves. Rather than look at a moduli functor we look at a category of families of elliptic curves. Interestingly the morphisms are all required to be ''cartesian'' commutative squares. This should somehow correspond to the fact that in the moduli functor setup, the map on hom-sets is defined using pullback. Maybe what is really giong on in the moduli space of triangles section is not that the map on fibers is required to be an isometry, but that this makes all the morphisms into Cartesian squares. <br />
<br />
A: I've been thinking about the fact that the diagrams have to be Cartesian too. Here is an elliptic curve example: Say you have a morphism from <math> E \to Spec(K) </math> to <math> E' \to Spec(K') </math>, by the Cartesian property this means that <math> E \times_{Spec(K)} Spec(K') </math> is isomorphic to <math>E'</math>. In other words, <math>E</math> and <math>E'</math> are the "same" elliptic curve, all we've done is a base change. It makes sense that in a moduli space there would be a map between an elliptic curve and the same elliptic curve over a field extension. In the case of triangles, requiring that the map be an isometry should similarly makes sure that it's the "same" triangle (okay, this is vague. but that's my feeling)--[[User:Vincent|Vincent]] 21:39, 29 May 2012 (UTC)<br />
<br />
<br />
Q: I think I'm confused about the groupoid coming from an atlas for an orbifold. On page 23 the book says that the map <math>R \to U \times U</math> is never injective unless X is just a manifold with its trivial orbifold structure. But consider the case <math> X = \mathbf{C}</math>, with a single patch. In that case R is given by triples <math>(z_1,z_2,\phi)</math> with <math>\phi</math> a germ of a holomorphic map from a neighbourhood of the first point to a neighbourhood of the second. But complex discs have a whole <math>SL_2(\mathbf{R})</math> of automorphisms, so the fiber of R over any point of <math>U \times U</math> should be a whole <math>SL_2(\mathbf{R})</math>, rather than a point. [[User:Dewey|Dewey]] 16:58, 28 May 2012 (UTC)<br />
<br />
A: Key point is that <math>\phi</math> is a map over X. In this case, where the coordinate patches are given by the identity <math>X \to X</math>, <math>\phi</math> is necessarily the identity map.<br />
<br />
Q: I (think I) solved problem 1.15, but to do it I needed to use the fact that the groups <math>G_\alpha</math> from the orbifold data are all finite. If you relax that condition and let them be infinite does anyone have a counterexample? I'm interested in this because supposedly orbifolds are analagous to DM stacks and when you relax the condition on the groups being infinit, but require them to be algebraic, you should get something like an Artin stack, so this infinite vs finite groups thing could be a big deal. Note: as far as the DM and Artin stacks thing goes, I have no idea what I am talking about.<br />
<br />
C: I think a lot of the problems where you find a map of groupoids satisfying conditions i and ii boil down to the following statement: Let A and B be two groups acting on a space X such that the actions of A and B commute and B acts faithfully. Then A acts on Y, the quotient of X by B, and there is a map of groupoids <math>(A \times B \times X \rightrightarrows X) \to (A \times Y \rightrightarrows Y)</math> satisfying conditions i and ii<br />
<br />
C: A note for those who have not messed around with the j-invariant before: at least over an algebraically closed field, the j invariant for a polynomial <math>y^2 = f(x)^3</math> depends only on the roots of f and their multiplicities.<br />
<br />
Q: On page 17 in the definition of a "modular family" the text says that the condition that any first order deformation of any fiber in one of the families C --> S is captured by a tangent vector on the base S, and goes on to say that this is like requiring that the map from S to the (nonexistent) moduli space of curves be etale. If the moduli space M existed, then a deformation of <math>C_s</math>, the fiber of C over <math>s\in S</math>, should correspond to a family <math>C' \to \mathrm{spec} k[\epsilon]/(\epsilon^2)</math> whose fiber over 0 is <math>C_s</math>. Saying that this deformation is captured by a tangent vector to S should be saying that this family over <math>k[\epsilon]/(\epsilon^2)</math> can be obtained by fibering <math>C \to S</math> with a map <math>\mathrm{spec}\, k[\epsilon]/(\epsilon^2) \to S</math>. On the other hand, a family over <math>k[\epsilon]/(\epsilon^2)</math> is the same thing as a tangent vector v in M, and saying that such a fiber can be captured by a tangent vector to S should mean that v is in the image of the map of tangent spaces induced by the map <math> S \to M </math> corresponding to the family <math> C \to S</math> (phew!). '''So:''' this claim sort of makes sense if asking for a map to be etale is like asking for it to induce a surjection on tangent spaces. Can someone who knows about etale maps say if that's right?<br />
<br />
C: Etale morphisms between finite type schemes are maps whose Jacobians are nonsingular (see Milne Etale Cohomology, Corollary 2.2). However this is much weaker than being surjective. If you knew some more information like what the dimension of the schemes was, you would be in business. --[[User:Jain|Jain]] 01:14, 30 May 2012 (UTC)<br />
<br />
C: This seems like a useful link on deformations. http://hilbertthm90.wordpress.com/2010/09/26/first-order-deformations/<br />
<br />
<br />
<br />
=== Chapter 2 ===<br />
<br />
Q: What does "locally of finite presentation" mean in the definition of flat topology? (Page 30, in the middle) --Marci 16:05, 31 May 2012 (UTC)<br />
<br />
A: An <math>R</math>-algebra <math>S</math> is finitely presented if it is the quotient of a polynomial ring over <math>R</math> in finitely many variables by a finitely generated ideal. If <math>X</math> and <math>Y</math> are schemes, then <math>f:X\rightarrow Y</math> is locally finitely presented if for any <math>x</math> in <math>X</math>, and <math>f(x)</math> in <math>Y</math>, there is an affine neighborhood of <math>x</math> that maps into an affine neighborhood of <math>f(x)</math> such that the resulting ring map is locally finitely presented. I think that if everything is locally Noetherian, this is the same as being locally finite type.--[[User:Jain|Jain]] 21:59, 3 June 2012 (UTC)<br />
<br />
Q: "The morphism from Mg,1 to Mg can be regarded as the universal curve." (on the top of page 34) What does that mean? --Marci 14:56, 31 May 2012 (UTC)<br />
<br />
A: Mg,1 should form a smooth family of connected genus g curves as a scheme over Mg for starters. From there the most tidy definition of universal curve I know seems very inaccessible: that Mg,1 is the family on Mg corresponding to the identity map from Mg to itself. --[[User:Clement|Clement]] 15:51, 4 June 2012 (UTC)<br />
<br />
Q: So how can we prove that a family (on one side of the moduli equivalence) corresponds to a certain map (on the other side of the moduli equivalence)? --[[User:Clement|Clement]] 15:51, 4 June 2012 (UTC)<br />
<br />
Q: I think there is some problem with Exercise 2.1 part b). The covering {1,...,n} X E--->S is not necessarily of degree n. Furthermore I think there is also an isomorphism between BPSL_n and P_n, where P_n is same as V_n, but now it is a projective bundle.--Marci 16:04, 31 May 2012 (UTC)<br />
<br />
Q: Why do we insist that these categories are fibered in groupoids? (I realize how frivolous this sounds, but I am having trouble understanding the intuition behind insisting that the fibers are groupoids.)<br />
<br />
A: For example groupoids naturally appear in glueing problems. Let us consider a scheme X over Spec R, and try to find deformations over Spec T, namely a scheme Y and an isomorphism f:X-->(the fiber product of Y and Spec R over Spec T). (Etale-)locally on X there exists always a such deformation, those are isomorphic, although globally sometimes does not. This thing is captured by the groupoids, locally you have plenty of candidate for extension, and they are isomorphic, although sometimes you cannot extend those.--Marci 14:42, 4 June 2012 (UTC)<br />
<br />
Q: Let me spam more. Instead of (s,s) should (s,s,id) appear in (2) on the top of Page 44? Also, I do not see (3), i only see (3) if the torsor E-->S is trivial. --Marci 14:53, 4 June 2012 (UTC)<br />
<br />
=== Chapter 3 ===<br />
<br />
=== Chapter 4 ===<br />
<br />
=== Chapter 5 ===<br />
<br />
== Summer plans ==<br />
<br />
If you feel like telling us your general plans for the summer, so that we'll know when you are around Madison, please do so here:<br />
<br />
Ed: Leaving June 2, back around August 1.<br />
<br />
Jeff: Leaving June 17, back July 8.<br />
<br />
Evan: Leaving May 22, back June 20.<br />
<br />
Christelle: Leaving June 24, back July 20, leaving August 4.<br />
<br />
David: Leaving June 17, back July 8. Leaving July 31, back August 14th.</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=3393Graduate Algebraic Geometry Seminar Fall 20172012-01-31T17:27:07Z<p>Clement: /* February 1 */</p>
<hr />
<div>'''Wednesdays 4:30pm-5:30pm, B309 Van Vleck'''<br />
<br />
The purpose of this seminar is to have a talk on each Wednesday by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and should try to explain some of the background, terminology, and ideas for the Friday talk.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:dynerman@math.wisc.edu David]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Spring 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 1 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~clement/ Nathan Clement]<br />
| bgcolor="#BCE2FE"|[[#February 1 | <font color="black"><em>GIT</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 8 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dewey/ Ed Dewey] <br />
| bgcolor="#BCE2FE"|[[#September 21 | <font color="black"><em>Artin Stacks</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 15 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~poskin/ Jeff Poskin] <br />
| bgcolor="#BCE2FE"|[[#February 15 | <font color="black"><em>Syzygies of modules</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 22 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dynerman/ David Dynerman] <br />
| bgcolor="#BCE2FE"|[[#February 22 | <font color="black"><em>TBA</em></font>]]<br />
<br />
|}<br />
</center><br />
<br />
== February 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: GIT<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Let X be an algebraic variety and G an algebraic group, both defined over an algebraically closed field k of characteristic p > 0. One would like to form a quotient of X by G with certain properties. One might hope that a natural solution would come from computing the ring of G invariant functions on X. In general, however, this ring of invariants may not be nice. I will present some of the difficulties of the GIT approach to quotients and where some progress has been made.<br />
|} <br />
</center><br />
<br />
== February 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: GIT Prep<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
|} <br />
</center><br />
<br />
== February 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Syzygies of modules<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
<br />
== February 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''David Dynerman'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=3392Graduate Algebraic Geometry Seminar Fall 20172012-01-31T17:26:49Z<p>Clement: /* February 1 */</p>
<hr />
<div>'''Wednesdays 4:30pm-5:30pm, B309 Van Vleck'''<br />
<br />
The purpose of this seminar is to have a talk on each Wednesday by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and should try to explain some of the background, terminology, and ideas for the Friday talk.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:dynerman@math.wisc.edu David]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Spring 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 1 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~clement/ Nathan Clement]<br />
| bgcolor="#BCE2FE"|[[#February 1 | <font color="black"><em>GIT</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 8 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dewey/ Ed Dewey] <br />
| bgcolor="#BCE2FE"|[[#September 21 | <font color="black"><em>Artin Stacks</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 15 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~poskin/ Jeff Poskin] <br />
| bgcolor="#BCE2FE"|[[#February 15 | <font color="black"><em>Syzygies of modules</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 22 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dynerman/ David Dynerman] <br />
| bgcolor="#BCE2FE"|[[#February 22 | <font color="black"><em>TBA</em></font>]]<br />
<br />
|}<br />
</center><br />
<br />
== February 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: GIT<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
<br />
== February 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: GIT Prep<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
|} <br />
</center><br />
<br />
== February 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Syzygies of modules<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
<br />
== February 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''David Dynerman'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=3391Graduate Algebraic Geometry Seminar Fall 20172012-01-31T17:25:19Z<p>Clement: /* February 1 */</p>
<hr />
<div>'''Wednesdays 4:30pm-5:30pm, B309 Van Vleck'''<br />
<br />
The purpose of this seminar is to have a talk on each Wednesday by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and should try to explain some of the background, terminology, and ideas for the Friday talk.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:dynerman@math.wisc.edu David]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Spring 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 1 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~clement/ Nathan Clement]<br />
| bgcolor="#BCE2FE"|[[#February 1 | <font color="black"><em>GIT</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 8 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dewey/ Ed Dewey] <br />
| bgcolor="#BCE2FE"|[[#September 21 | <font color="black"><em>Artin Stacks</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 15 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~poskin/ Jeff Poskin] <br />
| bgcolor="#BCE2FE"|[[#February 15 | <font color="black"><em>Syzygies of modules</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 22 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dynerman/ David Dynerman] <br />
| bgcolor="#BCE2FE"|[[#February 22 | <font color="black"><em>TBA</em></font>]]<br />
<br />
|}<br />
</center><br />
<br />
== February 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: GIT<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
| } <br />
</center><br />
<br />
== February 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: GIT Prep<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
|} <br />
</center><br />
<br />
== February 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Syzygies of modules<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
<br />
== February 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''David Dynerman'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=3390Graduate Algebraic Geometry Seminar Fall 20172012-01-31T17:24:41Z<p>Clement: /* February 1 */</p>
<hr />
<div>'''Wednesdays 4:30pm-5:30pm, B309 Van Vleck'''<br />
<br />
The purpose of this seminar is to have a talk on each Wednesday by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and should try to explain some of the background, terminology, and ideas for the Friday talk.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:dynerman@math.wisc.edu David]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Spring 2012 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| February 1 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~clement/ Nathan Clement]<br />
| bgcolor="#BCE2FE"|[[#February 1 | <font color="black"><em>GIT</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 8 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dewey/ Ed Dewey] <br />
| bgcolor="#BCE2FE"|[[#September 21 | <font color="black"><em>Artin Stacks</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 15 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~poskin/ Jeff Poskin] <br />
| bgcolor="#BCE2FE"|[[#February 15 | <font color="black"><em>Syzygies of modules</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| February 22 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dynerman/ David Dynerman] <br />
| bgcolor="#BCE2FE"|[[#February 22 | <font color="black"><em>TBA</em></font>]]<br />
<br />
|}<br />
</center><br />
<br />
== February 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: GIT<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
| Let X be an algebraic variety and G an algebraic group, both defined over an algebraically closed field k of characteristic p > 0. One would like to form a quotient of X by G with certain properties. One might hope that a natural solution would come from computing the ring of G invariant functions on X. In general, however, this ring of invariants may not be nice. I will present some of the difficulties of the GIT approach to quotients and where some progress has been made. } <br />
</center><br />
<br />
== February 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Ed Dewey'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: GIT Prep<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
|} <br />
</center><br />
<br />
== February 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jeff Poskin'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Syzygies of modules<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center><br />
<br />
== February 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''David Dynerman'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | TBD<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: <br />
|} <br />
</center></div>Clementhttps://wiki.math.wisc.edu/index.php?title=Cookie_Sign-up&diff=3377Cookie Sign-up2012-01-30T15:42:59Z<p>Clement: </p>
<hr />
<div>This page is the sign-up to bring refreshments for the math department on Mondays and Fridays. Once you have signed up please see Diane Holcomb for money and instructions. In general questions may be directed to Diane Holcomb, Sarah Tumasz, or Silas Johnson. Please sign up below! (Note that if you sign up during cookie hour you will be added to this list.)<br />
<br />
To edit this list simply log in at the top of the screen and then click edit on the top of this page.<br />
<br />
Friday 1/27: Diane Holcomb<br />
<br />
Monday 1/30: Silas Johnson<br />
<br />
Friday 2/3: Peng Yu<br />
<br />
Monday 2/6: Sarah Tumasz<br />
<br />
Friday 2/10: Nathan Clement<br />
<br />
Monday 2/13: <br />
<br />
Friday 2/17:<br />
<br />
Monday 2/20:Lalit Jain<br />
<br />
Friday 2/24:<br />
<br />
Monday 2/27:Elnur Emrah<br />
<br />
Friday 3/2:<br />
<br />
Monday 3/5: Sarah Bockting<br />
<br />
Friday 3/9:<br />
<br />
Monday 3/12:<br />
<br />
Friday 3/16:<br />
<br />
Monday 3/19:<br />
<br />
Friday 3/22:<br />
<br />
Monday 3/25:<br />
<br />
Friday 3/30:<br />
<br />
Monday 4/2:<br />
<br />
Friday 4/6:<br />
<br />
Monday 4/9:<br />
<br />
Friday 4/13:<br />
<br />
Monday 4/16:<br />
<br />
Friday 4/20:<br />
<br />
Monday 4/23:<br />
<br />
Friday 4/27:<br />
<br />
Monday 4/30:<br />
<br />
Friday 5/4:<br />
<br />
Monday 5/7:<br />
<br />
Friday 5/11:</div>Clementhttps://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&diff=2749Graduate Algebraic Geometry Seminar Fall 20172011-09-28T14:58:30Z<p>Clement: /* September 28 */</p>
<hr />
<div>'''Wednesdays 4:30pm-5:30pm, B309 Van Vleck'''<br />
<br />
The purpose of this seminar is to have a talk on each Wednesday by a graduate student to help orient ourselves for the Algebraic Geometry Seminar talk on the following Friday. These talks should be aimed at beginning graduate students, and should try to explain some of the background, terminology, and ideas for the Friday talk.<br />
<br />
== Give a talk! ==<br />
We need volunteers to give talks this semester. If you're interested contact [mailto:dynerman@math.wisc.edu David]. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material.<br />
<br />
== Fall 2011 Semester ==<br />
<br />
<center><br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 14 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~jain/ Lalit Jain]<br />
| bgcolor="#BCE2FE"|[[#September 14 | <font color="black"><em>Introduction</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 21 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~dynerman/ David Dynerman] <br />
| bgcolor="#BCE2FE"|[[#September 21 | <font color="black"><em>Artin Stacks</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 28 (Wed.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~clement/ Nathan Clement] <br />
| bgcolor="#BCE2FE"|[[#September 28 | <font color="black"><em>Hodge Theory and the Frobenius Endomorphism</em></font>]]<br />
|}<br />
</center><br />
<br />
== September 14 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Lalit Jain'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Introduction<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In this talk I'll present a few of the basic concepts of scheme theory and provide several motivating examples.Schemes are a fundamental object in modern algebraic geometry that greatly generalize varieties. The target audience is new graduate students who have had no (or perhaps only a classical) introduction to algebraic geometry. <br />
|} <br />
</center><br />
<br />
== September 21 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''David Dynerman'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Artin Stacks<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: This is a preparatory talk for [[Algebraic_Geometry_Seminar#Yifeng Lui|Yifeng Lui's]] seminar talk. Yifeng will be talking about recent developments in defining sheaves on Artin stacks, so I will attempt to define an Artin stack and hopefully work out an example or two.<br />
|} <br />
</center><br />
<br />
== September 28 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nathan Clement'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Hodge Theory and the Frobenius Endomorphism: The curious tale of calculus in characteristic p>0.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will present the basic ideas neccesary to understand (1) the original statement of Hodge decomposition and the idea of the proof and (2) the proof given by Pierre Deligne and Luc Illusie of the analagous statement on schemes of characteristic p>0 given some special lifting condition. A brief argument extends the result to schemes of characteristic 0. If time permits, I will give an idea of what Professor Caldararu's more geometric take on the situation might be.<br />
|} <br />
</center></div>Clement