Character sheaves for classical symmetric pairs

TL;DR

This paper develops a Springer theory framework for classical symmetric pairs, providing explicit descriptions of character sheaves and identifying cuspidal character sheaves within this context.

Contribution

It introduces a Springer theory for classical symmetric pairs and explicitly characterizes their character sheaves, including cuspidal ones.

Findings

Explicit description of character sheaves for classical symmetric pairs

Identification of cuspidal character sheaves in this setting

Development of a Springer theory tailored to symmetric pairs

Abstract

We establish a Springer theory for classical symmetric pairs. We give an explicit description of character sheaves in this setting. In particular we determine the cuspidal character sheaves.