Introduction to affine Springer theory
Student No.:40
Time:Tue & Thu 15:20-16:55,
Instructor:池敬人 Chi Jingren  
Place:Conference room 3, Jin Chun Yuan West Bldg.
Starting Date:2018-7-3
Ending Date:2018-8-2

The goal of this course is to give an introduction to Springer theory and its affine analogue. Our emphasis is on the Weyl group symmetry in classical Springer theory and affine Weyl group symmetry in “affine Springer theory”. We will mention applications of affine Springer theory to problems in p-adic representation theory, including orbital integrals and construction of certain elements in stable Bernstein center. If time permits, the last part of the course will be an attempt to a possible generalization of affine Springer theory to mixed characteristic local fields. I’ll try to make the lecture accessible to advanced undergraduates and beginning graduate students. Also we may adjust the plan according to interest of the audience.

Prerequisite: Basic knowledge of algebraic geometry and algebraic groups


[1]Bezrukavnikov-Kazhdan-Varshavsky, A categorical approach to the stable center conjecture, Astérisque No. 369 (2015), 27–97.
[2] Chriss-Ginzburg, Representation theory and complex geometry.
[3] Yun, The spherical part of local and global Springer actions, Math. Ann. 2014.
[4] Yun, Lectures on Springer theory and orbital integrals, arXiv:1602.01451.