Graduate Algebraic Geometry Seminar Spring 2023: Difference between revisions
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| bgcolor="#E0E0E0" |[[Graduate Algebraic Geometry Seminar Spring 2023#February 1|February 1]] | | bgcolor="#E0E0E0" |[[Graduate Algebraic Geometry Seminar Spring 2023#February 1|February 1]] | ||
| bgcolor="#C6D46E" | | | bgcolor="#C6D46E" |John Cobb | ||
| bgcolor="#BCE2FE" | | | bgcolor="#BCE2FE" |Introduction to Intersection Theory | ||
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| bgcolor="#E0E0E0" |[[Graduate Algebraic Geometry Seminar Spring 2023#February 3|February 3]] | | bgcolor="#E0E0E0" |[[Graduate Algebraic Geometry Seminar Spring 2023#February 3|February 3]] | ||
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| bgcolor="#A6B658" align="center" style="font-size:125%" | | | bgcolor="#A6B658" align="center" style="font-size:125%" | John Cobb | ||
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| bgcolor="#BCD2EE" align="center" |Title: | | bgcolor="#BCD2EE" align="center" |Title: Introduction to Intersection Theory | ||
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| bgcolor="#BCD2EE" |Abstract: | | bgcolor="#BCD2EE" |Abstract: Unfortunately, one can learn an amazing amount of algebraic geometry without ever touching the classical problems the machinery was invented to solve. In this <s>advertisement</s> talk, I'd like to talk about some methods used in enumerative geometry and count some things. I'll define what a Chow ring is, compute some things with it, and tell you why you should read "3264 and all that" this semester with me. | ||
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Revision as of 00:27, 31 January 2023
When: 4:15-5:15 PM on Fridays
Where: Van Vleck B119
Who: All undergraduate and graduate students interested in algebraic geometry, commutative algebra, and related fields are welcome to attend.
Why: The purpose of this seminar is to learn algebraic geometry and commutative algebra by giving and listening to talks in a informal setting. Sometimes people present an interesting paper they find. Other times people give a prep talk for the 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.
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@g-groups.wisc.edu by sending an email to gags+subscribe@g-groups.wisc.edu. If you prefer (and are logged in under your wisc google account) the list registration page is here.
Organizers: John Cobb, Yu (Joey) Luo
Give a talk!
We need volunteers to give talks this semester. Beginning graduate students are particularly encouraged to give a talk, since it's a great way to get your feet wet with the material. If you would like some talk ideas, see the list on the main page. Sign up here.
Wishlist
This was assembled using input from an interest form at the beginning of the semester. Choose one and you will have the rare guarantee of having one interested audience member. Feel free to add your own.
- Hilbert Schemes
- Geothendieck '66, "On the de Rham Cohomology of Algebraic Varieties"
- A History of the Weil Conjectures
- A pre talk for any other upcoming talk
- Weil Conjectures, GAGA theorems, surfaces of general type, moduli spaces, moduli of curves, mixed characteristics (stuff), elliptic curves, abelian varieties, hyperelliptic curves, resolution of singularities, minimal model program (stuff).
Being an audience member
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:
- Do Not Speak For/Over the Speaker
- Ask Questions Appropriately
Talks
| Date | Speaker | Title |
| January 31 | Mahrud Sayrafi | Bounding the Multigraded Regularity of Powers of Ideals |
| February 1 | John Cobb | Introduction to Intersection Theory |
| February 3 | ||
| February 10 | ||
| February 17 | ||
| February 24 | ||
| March 3 | ||
| March 10 | ||
| March 24 | ||
| March 31 | ||
| April 7 | ||
| April 14 | ||
| April 21 | ||
| April 28 | ||
| May 5 |
January 31
| Mahrud Sayrafi |
| Title: Bounding the Multigraded Regularity of Powers of Ideals |
| Abstract: Building on a result of Swanson, Cutkosky-Herzog-Trung and Kodiyalam described the surprisingly predictable asymptotic behavior of Castelnuovo--Mumford regularity for powers of ideals on a projective space P^n: given an ideal I, there exist integers d and e such that for large enough n the regularity of I^n is exactly dn+e.
Through a medley of examples we will see why asking the same question about an ideal I in the total coordinate ring S of a smooth projective toric variety X is interesting. After that I will summarize the ideas and methods we used to bound the region reg(I^n) as a subset of Pic(X) by proving that it contains a translate of reg(S) and is contained in a translate of Nef(X), with each bound translating by a fixed vector as n increases. Along the way will see some surprising behavior for multigraded regularity of modules. This is joint work with Juliette Bruce and Lauren Cranton Heller. |
February 1
| John Cobb |
| Title: Introduction to Intersection Theory |
| Abstract: Unfortunately, one can learn an amazing amount of algebraic geometry without ever touching the classical problems the machinery was invented to solve. In this |
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