The distinction problem for symmetric spaces
组织者
刁晗生
, 杜衡
, 胡悦科
, Bin Xu
, Yihang Zhu
演讲者
Dipendra Prasad
时间
2026年05月11日 10:00 至 11:00
地点
Shuangqing-C654
摘要
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.