Description:

In this course we will study several topics involving finite group actions on varieties and their interactions with (and applications to) representation theory: invariant theory, reflection groups, Springer theory of eigenspaces, n! Conjecture, McKay correspondence… It aims to give an introduction to geometric representation theory through a battery of examples, each having its own flavour and interest.

Prerequisite:

Character theory of finite groups, algebraic geometry (first part of Hartshorne’s book is sufficient)

Reference:

Hartshorne. Algebraic geometry

Serre. Linear representations of finite groups

Isaacs. Character theory of finite groups

Target Audience: Undergraduate students, Graduate students

Teaching Language: English

Registration: https://www.wjx.top/vm/YgTWjzd.aspx#

Bio:

Senior Researcher at the CNRS (Montpellier, France).

PhD in 1996: “Lusztig functors in the special linear group over a finite field” (supervisor: Jean MICHEL).