Difference between revisions of "Graduate Algebraic Geometry Seminar Spring 2022"

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| bgcolor="#E0E0E0"| February 24
| bgcolor="#E0E0E0"| February 24
| bgcolor="#C6D46E"| Yu Luo
| bgcolor="#C6D46E"| Yu Luo
| bgcolor="#BCE2FE"|[[#February 24| ]]
| bgcolor="#BCE2FE"|[[#February 24| Riemann-Hilbert Correspondence ]]
| bgcolor="#E0E0E0"| March 3
| bgcolor="#E0E0E0"| March 3

Revision as of 17:00, 21 February 2022

When: 4:30-5:30 PM Thursdays

Where: VV B231

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Lizzie the OFFICIAL mascot of GAGS!!

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

Give a talk!

We need volunteers to give talks this semester. If you're interested, please fill out this form. 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.

Spring 2022 Topic Wish List

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
  • Reductive groups and flag varieties
  • Geothendieck '66, "On the de Rham Cohomology of Algebraic Varieties"
  • Going from line bundles and divisors to vector bundles and chern classes
  • A History of the Weil Conjectures
  • Mumford & Bayer, "What can be computed in Algebraic Geometry?"
  • A pre talk for any other upcoming talk

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


Date Speaker Title
February 10 Everyone Informal chat session
February 17 Asvin G
February 24 Yu Luo Riemann-Hilbert Correspondence
March 3
March 10 Colin Crowley
March 24 Caitlyn Booms
March 31 Ruofan
April 7 Alex Hof
April 14 John Cobb
April 21 Connor Simpson
April 28 Karan Using varieties to study polynomial neural networks
May 5

February 10

Title: Informal chat session
Abstract: Bring your questions!

February 17

Asvin G
Title: TBD
Abstract: TBD

February 24

Yu LUO (Joey)
Title: Riemann-Hilbert Correspondence
Abstract: During the talk, I will start with ”nonsingular” version of Riemann-Hilbert correspondence between integrable vector bundles and local systems. After that I will introduce the regular singularity, then extend the set up into D-modules and constructible sheaves, and sketch the Riemann-Hilbert correspondence with regular singularity. In the end, I will brief mention the application of them.

March 3


March 10


March 17


March 24


March 31


April 7


April 14


April 21


April 28

Title: Using varieties to study polynomial neural networks
Abstract: In this talk, I will exposit the work of Kileel, Trager, and Bruna in their 2019 paper "On the Expressive power of Polynomial Neural Networks". We will look at 1) what a polynomial neural network is and how we can interpret the output such networks as varieties, 2) why the dimension of this variety and the expressive power of this network are related, and 3) how the study of these varieties might tell us something about the architecture of the network.

May 5


Past Semesters

Fall 2021

Spring 2021

Fall 2020

Spring 2020

Fall 2019

Spring 2019

Fall 2018

Spring 2018

Fall 2017

Spring 2017

Fall 2016

Spring 2016

Fall 2015