Time: 10:30-11:30 November 14, 2024 (Thursday)
Venue: MCM110
Title: Distinction of the Steinberg representation for a symmetric pair via the Bruhat-Tits theory
Abstract: It is a fundamental problem in the representation theory of p-adic groups to understand distinguished representations with respect to certain subgroups. In this talk, we will introduce the basic concepts about the Bruhat-Tits building and focus on its applications in studying the distinction problem of the Steinberg representation with respect to a symmetric subgroup. The prototype of our approach is based on Broussous-Courtes's early work in the Galois case. This talk is based on a joint work with Jiandi Zou.