Graduate Algebraic Geometry Seminar Fall 2023: Difference between revisions
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| bgcolor="#E0E0E0" |October 18 | | bgcolor="#E0E0E0" |October 18 | ||
| bgcolor="#C6D46E" |Alex Hof | | bgcolor="#C6D46E" |Alex Hof | ||
| bgcolor="#BCE2FE" | | | bgcolor="#BCE2FE" |Why Does Normalization Resolve Singularities in Codimension 1? | ||
| bgcolor="#BCE2FE" | | | bgcolor="#BCE2FE" |We review the definition of the normalization of an algebraic variety, discuss the geometric intuition for it, and explain why normalizing removes codimension-1 singularities. This talk is intended to be accessible to people taking first-semester algebraic geometry. | ||
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| bgcolor="#E0E0E0" | October 25 | | bgcolor="#E0E0E0" | October 25 | ||
Revision as of 22:43, 12 October 2023
When: 4:30-5:30 PM on Wednesday.
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 | Abstract |
| September 13 | Peter Wei | Introduction to the Cartier Isomorphism (Pretalk) | This is a preparatory talk for Josh Mundinger's talk on Friday. We discuss the Cartier isomorphism. |
| September 20 | |||
| September 27 | Yifan Wei | p-torsions in the p-adic land and de Rham cohomology | Following Tate, we will try to visualize an elliptic curve over Cp, specifically, the p-adic disk near identity. Logarithm in the p-adic land provides a nice linearization to the problem, and we'll explore what this all means. If time permits, I'll sketch the proof of Hodge-Tate decomposition. (You know something like this is coming.) |
| October 4 | Owen Goff | TBA | TBA |
| October 11 | TBA | TBA | TBA |
| October 18 | Alex Hof | Why Does Normalization Resolve Singularities in Codimension 1? | We review the definition of the normalization of an algebraic variety, discuss the geometric intuition for it, and explain why normalizing removes codimension-1 singularities. This talk is intended to be accessible to people taking first-semester algebraic geometry. |
| October 25 | Jack Messina | TBA | TBA |
| November 1 | Yiyu Wang | ||
| November 8 | |||
| November 15 | Ivan Aidun | My Summer Book Report on the Minimal Model Program | What the hell is the Minimal Model Program? This summer, against my will, I learned. Now, you must too. |
| November 22 | Alex Mine | ||
| November 29 | Yanbo Chen | TBA | TBA |
| December 9 | Kevin Dao | Basics on D-Modules | This talk is my way to force myself to learn the basics of D-modules. The talk should be mostly accessible to first years and second years. |
| December 13 |