Lectures on Springer theories and orbital integrals

2016/02/03 by Yun, Zhiwei
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1602.01451

Abstract

These are the expanded lecture notes from the author's mini-course during the graduate summer school of the Park City Math Institute in 2015. The main topics covered are: geometry of Springer fibers, affine Springer fibers and Hitchin fibers; representations of (affine) Weyl groups arising from these objects; relation between affine Springer fibers and orbital integrals.

Related

• Truncated affine Springer fibers and Arthur's weighted orbital integrals
• Regular points in affine Springer fibers
• On the local behavior of weighted orbital integrals and the affine Springer fibers
• Homology of affine Springer fibers in the unramified case
• The spherical part of the local and global Springer actions