Graduate Algebraic Geometry Seminar Fall 2022: Difference between revisions

From UW-Math Wiki
Jump to navigation Jump to search
(→‎Talks: Yiyu Wang this Friday)
(→‎Talks: Add in ivan)
(2 intermediate revisions by the same user not shown)
Line 13: Line 13:


==Give a talk!==
==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 [https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar main page].
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 [https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar main page]. Sign up here: https://forms.gle/XUAq1VFFqqErKDEh6.


===Fall 2022 Topic Wish List===
===Fall 2022 Topic Wish List===
Line 60: Line 60:
|-
|-
| bgcolor="#E0E0E0" |October 28
| bgcolor="#E0E0E0" |October 28
| bgcolor="#C6D46E" |
| bgcolor="#C6D46E" |Ivan Aidun
| bgcolor="#BCE2FE" |[[Graduate Algebraic Geometry Seminar Fall 2022#October 28|TBA]]
| bgcolor="#BCE2FE" |[[Graduate Algebraic Geometry Seminar Fall 2022#October 28|TBA]]
|-
|-
Line 93: Line 93:
| bgcolor="#BCD2EE" align="center" |Title: The Cox Ring of Toric Varieties
| bgcolor="#BCD2EE" align="center" |Title: The Cox Ring of Toric Varieties
|-
|-
| bgcolor="#BCD2EE" |Abstract:
| bgcolor="#BCD2EE" |Abstract: This talk will include two parts. In the first part, I will briefly introduce toric varieties, and give some examples. I will also explain how they are related to the combinatorial objects called fans. Only some basic algebraic geometry will be used in this part. In the second part, I will talk about Cox's construction of representing any toric variety as a quotient space, and his famous Cox ring. As a corollary, we can prove that the automorphism group of a complete simplicial toric variety is a linear algebraic group. I will use some basic knowledge of toric varieties in this part.
|}                                                                         
|}                                                                         
</center>
</center>
Line 149: Line 149:
{| style="color:black; font-size:100%" border="2" cellpadding="10" width="700" cellspacing="20" table
{| style="color:black; font-size:100%" border="2" cellpadding="10" width="700" cellspacing="20" table
|-
|-
| bgcolor="#A6B658" align="center" style="font-size:125%" |
| bgcolor="#A6B658" align="center" style="font-size:125%" |Ivan Aidun
|-
|-
| bgcolor="#BCD2EE" align="center" |Title:
| bgcolor="#BCD2EE" align="center" |Title:

Revision as of 15:58, 20 September 2022

When: 1:30-2:30 PM on Fridays

Where: Van Vleck B219

Toby 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, 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: https://forms.gle/XUAq1VFFqqErKDEh6.

Fall 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
  • 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
  • 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
September 23 Yiyu Wang The Cox Ring of Toric Varieties
September 30 TBA
October 7 Alex Hof TBA
October 14 John Cobb Virtual Resolutions and Eagon-Northcott Complexes
October 21 TBA
October 28 Ivan Aidun TBA
November 2 Some Matroid Person TBA
November 11 Connor Simpson TBA
November 18 TBA
December 2 Kevin Dao TBA
December 9 Yu Luo TBA

September 23

Yiyu Wang
Title: The Cox Ring of Toric Varieties
Abstract: This talk will include two parts. In the first part, I will briefly introduce toric varieties, and give some examples. I will also explain how they are related to the combinatorial objects called fans. Only some basic algebraic geometry will be used in this part. In the second part, I will talk about Cox's construction of representing any toric variety as a quotient space, and his famous Cox ring. As a corollary, we can prove that the automorphism group of a complete simplicial toric variety is a linear algebraic group. I will use some basic knowledge of toric varieties in this part.

September 30

Title
Abstract:

October 7

Alex Hof
Title:
Abstract:

October 14

John Cobb
Title:
Abstract:

October 21

Title:
Abstract:

October 28

Ivan Aidun
Title:
Abstract:

November 2

Some Matroid Person
Title:
Abstract:

November 11

Connor Simpson
Title:
Abstract:

November 18

Title:
Abstract:

December 2

Kevin Dao
Title:
Abstract:

December 9

Yu (Joey) Luo
Title:
Abstract:

Past Semesters

Spring 2022

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