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BIMSA-YMSC Tsinghua Number Theory Seminar
BIMSA-YMSC Tsinghua Number Theory Seminar
The distinction problem for symmetric spaces
The distinction problem for symmetric spaces
Organizers
Hansheng Diao
, Heng Du
, Yueke Hu
, Bin Xu
, Yihang Zhu
Speaker
Dipendra Prasad
Time
Monday, May 11, 2026 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
If $\theta$ is an involution on a group $G$ with fixed points $H$, it is a question of considerable interest to classify irreducible representations of $G$ which carry an $H$ invariant linear form, or the closely related question of the Plancherel decomposition of $L^2(G/H)$. This question can be studied in the context of finite fields, local fields, both real and $p$-adic, and automorphic representations. We will discuss this question in various cases in which it has been studied, emphasizing some of my own works.