BIMSA > Automorphic Theory Seminar Quotient branching law for p-adic (GL(n+1), GL(n))
Quotient branching law for p-adic (GL(n+1), GL(n))
Organizers
Tai Wang Deng , Bin Xu , Jun Yu
Speaker
Kei Yuen Chan
Time
Tuesday, December 6, 2022 2:00 PM - 3:00 PM
Venue
Online
Online
Zoom 293 812 9202 (BIMSA)
Abstract
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.