Quotient branching law for p-adic general linear groups and affine Hecke algebra of type A

Kei Yuen Chan (Fudan)

Apr 14. 2022, 09:30 — 10:15

In a joint work with G. Savin, we formulate the analoge of Bernstein-Zelevinsky derivatives for the affine Hecke algebra of type A. The problem of determining the simple quotients of BZ derivatives is closely related to the quotient branching laws for p-adic general linear groups. The first part of the talk will focus on explaining constructing those simple quotients via using the derivative theory of essenially square-integrable representations. Such derivative theory is orginally developed by Jantzen and independently by Mínguez. Then I will formulate a branching law for p-adic general linear gorups, generalizing the notion of relevant pairs of Gan-Gross-Prasad, and if time permitting, I will talk about the recent progess on establishing such branching law.



Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Minimal Representations and Theta Correspondence (Workshop)
Wee Teck Gan (U of Singapore)
Marcela Hanzer (U Zagreb)
Alberto Minguez (U of Vienna)
Goran Muic (U Zagreb)
Martin Weissman (UC Santa Cruz)