Graduate Algebraic Geometry Seminar Fall 2017: Difference between revisions

From UW-Math Wiki
Jump to navigation Jump to search
VisualWikitext
No edit summary
Line 108: Line 108:
</center>
</center>


== January 20 ==
== September 14 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jay Yang'''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: Tropical Geometry II
| bgcolor="#BCD2EE"  align="center" | Title: Vignettes In Algebraic Geometry
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Line 127: Line 127:
</center>
</center>


== January 27 ==
== September 21 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
Line 135: Line 135:
| bgcolor="#BCD2EE"  align="center" | Title: TBD
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |
| bgcolor="#BCD2EE"  |  
Abstract: TBD
Abstract: TBD
|}                                                                         
|}                                                                         
</center>
== February 3 ==
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Ed Dewey'''
|-
| bgcolor="#BCD2EE"  align="center" | Title: Derived Category of Projective Space
|-
| bgcolor="#BCD2EE"  | 
Abstract: I will talk about the derived category of projective space, covering mostly the same material that Andrei did at the end of his homological algebra course, but at a more leisurely pace.  My main reference is the ''Skimming.'' 
|}
</center>
</center>


== February 10 ==
== September 28 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Ed Dewey'''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: More Derived Category of Projective Space
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Abstract: I will explain in what sense we now "know" the derived category of projective space from Beilinson's result.  There is a very nice answer in terms of quivers but I got distracted by another, much less efficient but maybe more flexible approach using dg categories, so that is what we will do.  If my understanding permits, we will also talk about the derived category of a projective space bundle.
Abstract: TBD
|}                                                                         
|}                                                                         
</center>
</center>


== February 17 ==
== October 5 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
Line 174: Line 162:
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Abstract: TBD  
Abstract: TBD
|}                                                                         
|}                                                                         
</center>
</center>
== February 24 ==
 
== October 12 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: Divisors and Stuff I
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Abstract: TBD
Abstract: TBD
|}                                                                         
|}                                                                         
</center>
</center>


== March 2 ==
 
== October 19 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: Divisors and Stuff II
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Line 204: Line 193:
</center>
</center>


== March 9 ==
== October 26 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''DJ Bruce'''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: Divisors and Stuff III
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Abstract: TBD
Abstract: TBD
|}                                                                         
|}                                                                         
</center>
</center>


== March 16 ==
== November 2 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
Line 227: Line 216:
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Abstract: TBD
Abstract: TBD
|}                                                                         
|}                                                                         
</center>
</center>


== March 23 ==
== November 9 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''No Seminar This Week'''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: N/A
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Abstract: Enjoy your break!
Abstract: TBD
|}                                                                         
|}                                                                         
</center>
</center>


== March 30 ==
== November 16 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Daniel Hast'''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: Jacobians, path integrals, and fundamental groups of curves I
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Line 257: Line 245:
</center>
</center>


== April 6 ==
 
== November 23 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Daniel Hast'''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: Jacobians, path integrals, and fundamental groups of curves II
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Line 270: Line 259:
</center>
</center>


== April 13 ==
== November 30 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Jason Steinberg '''
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''TBD'''
|-
|-
| bgcolor="#BCD2EE"  align="center" | Title: Something Something Shimura Varieties
| bgcolor="#BCD2EE"  align="center" | Title: TBD
|-
|-
| bgcolor="#BCD2EE"  |   
| bgcolor="#BCD2EE"  |   
Abstract:  
Abstract: TBD
|}                                                                         
|}                                                                         
</center>
</center>


== April 20 ==
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Quinton Westrich'''
|-
| bgcolor="#BCD2EE"  align="center" | Title: Projective Duality
|-
| bgcolor="#BCD2EE"  | 
Abstract: Intro to discriminants and duals of projective varieties. My field will be C.
|}                                                                       
</center>


== April 27 ==
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" | '''Zachary Charles'''
|-
| bgcolor="#BCD2EE"  align="center" | Title: Polynomial systems, toric geometry, and Newton polytopes
|-
| bgcolor="#BCD2EE"  | 
Abstract: While the Bezout bound generically gives us the number of roots of a polynomial system in projective space, often much more can be said about specific systems in affine space. Kushnirenko's Theorem (and later Bernstein's theorem) gives better bounds for "sparse" systems of polynomials. These bounds are based on the volume of Newton polytopes. I will prove Kushnirenko's theorem using ideas from toric geometry, commutative algebra, and the geometry of polytopes. If time permits we will give applications of this theorem to power systems.
|}                                                                       
</center>


== May 4 ==
== December 7 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
Line 321: Line 286:
|}                                                                         
|}                                                                         
</center>
</center>
== May 11 ==
 
== December 14 ==
<center>
<center>
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"

Revision as of 19:26, 5 September 2016

When: Wednesdays 4:00pm

Where:Van Vleck B139

Lizzie the OFFICIAL mascot of GAGS!!

Who: YOU!!

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.

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 here.



Give a talk!

We need volunteers to give talks this semester. If you're interested contact 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.


Wish List

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.

  • 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)
  • A careful explanation of the correspondence between graded modules and sheaves on projective varieties.
  • 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)
  • Homological projective duality
  • The orbit method (for classifying representations of a Lie group)
  • Kaledin: geometry and topology of symplectic resolutions
  • Kashiwara: D-modules and representation theory of Lie groups (Note: Check out that diagram on page 2!)
  • Geometric complexity theory, maybe something like arXiv:1508.05788.


Fall 2016

Date Speaker Title (click to see abstract)
September 14 DJ Bruce Vignettes in Algebraic Geometry
September 21 TBD TBD
September 28 TBD TBD
October 5 TBD TBD
October 12 TBD TBD
October 19 TBD TBD
October 26 TBD TBD
November 2 TBD TBD
November 9 TBD TBD
November 16 TBD TBD
November 23 TBD TBD
November 30 TBD TBD
December 7 TBD TBD
December 14 TBD TBD

September 14

DJ Bruce
Title: Vignettes In Algebraic Geometry

Abstract: Previously we discussed the basic definitions of tropical geometry, and the connection to algebraic geometry. Now we use this to count curves through points on P^2. This is a well known result initially proven without the use of tropical tools. But using tropical tools we can give a proof that relies on the combinatorics of lattice paths. I will begin with a review of some facts from tropical geometry that we need for this proof.

September 21

TBD
Title: TBD

Abstract: TBD

September 28

TBD
Title: TBD

Abstract: TBD

October 5

TBD
Title: TBD

Abstract: TBD

October 12

TBD
Title: TBD

Abstract: TBD


October 19

TBD
Title: TBD

Abstract: TBD

October 26

TBD
Title: TBD

Abstract: TBD

November 2

TBD
Title: TBD

Abstract: TBD

November 9

TBD
Title: TBD

Abstract: TBD

November 16

TBD
Title: TBD

Abstract: TBD


November 23

TBD
Title: TBD

Abstract: TBD

November 30

TBD
Title: TBD

Abstract: TBD


December 7

TBD
Title: TBD

Abstract: TBD

December 14

TBD
Title: TBD

Abstract: TBD

Organizers' Contact Info

DJ Bruce

Nathan Clement


Past Semesters

Spring 2016

Fall 2015

Retrieved from "https://wiki.math.wisc.edu/index.php?title=Graduate_Algebraic_Geometry_Seminar_Fall_2017&oldid=12201"