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).
Recording: https://archive.ymsc.tsinghua.edu.cn/pacm_course?html=Topics_on_finite_group_actions_on_varieties_and_representation.html
