# Algebra and Algebraic Geometry Seminar Spring 2022

The Seminar takes place on Fridays at 2:30 pm, either virtually (via Zoom) or in person, in room B235 Van Vleck.

## Contents

## Algebra and Algebraic Geometry Mailing List

- Please join the AGS mailing list by sending an email to ags+join@g-groups.wisc.edu to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).

## COVID-19 Update

As a result of Covid-19, the seminar for this semester will be a mix of virtual and in-person talks. The default Zoom link for the seminar is https://uwmadison.zoom.us/j/9502605167 (sometimes we will have to use a different meeting link, if Michael K cannot host that day).

## Spring 2022 Schedule

date | speaker | title | host/link to talk | |
---|---|---|---|---|

February 18 | Dima Arinkin | Representations of finite groups | ||

February 25 | Dima Arinkin | Cartier duality |

## Abstracts

### Dima Arinkin

Title: Representations of finite groups February 18

Abstract: The talk is not really at the normal level of this seminar; it is closer to the Graduate Algebraic Geometry Seminar. My goal is to sketch the basics of representation theory of groups, especially finite groups. While this is partially covered in algebra courses, I would like to do it from a slightly different point of view, with the focus on representations themselves rather than on their characters. The talk is aimed at people who already know definitions and general ideas, but I will not assume much beyond that.

### Dima Arinkin

Title: Cartier duality February 25

Abstract: My goal is to introduce the Cartier duality (for commutative algebraic groups). If time permits, I will discuss the Contou-Carrère duality: an example of Cartier dual groups arising in local class field theory.

This is an introductory talk aimed at graduate students. The talk is related to, but mostly independent from, the course on algebraic groups; the only thing I plan to use from the course is the notion of a Hopf algebra.