Quotient branching law for p-adic (GL(n+1), GL(n))
组织者
邓太旺
, Bin Xu
, 余君
演讲者
Kei Yuen Chan
时间
2022年12月06日 14:00 至 15:00
地点
Online
线上
Zoom 293 812 9202
(BIMSA)
摘要
Branching law for classical groups over local fields is a main theme in the Gan-Gross-Prasad problems. Gan-Gross-Prasad (2020) introduces a notion of relevant pairs in determining the quotient branching law for Arthur type representations. In this talk, I shall first briefly review their definitions. Then from representation-theoretic viewpoint, I will explain a generalization governing the branching law for all irreducible representations of p-adic general linear groups, and provide various examples for such generalization. Along the way, we also determine all the simple quotients of Bernstein-Zelevinsky derivatives of irreducible representations.