Lectures on Springer theories and orbital integrals

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.

62 pages; to appear in the PCMI proceedings

References in corpus (1)

• Fibration de Hitchin et endoscopie

Cited by in corpus (4)

• BFN Springer Theory
• Affine Schubert calculus and double coinvariants
• Two-block Springer fibers of types C and D: a diagrammatic approach to Springer theory
• The geometry of some generalized affine Springer fibers