报告人：黄家裕（香港中文大学深圳校区）

报告题目：On the Lefschetz principle for GL(n,C) and GL(m,Qp)

报告摘要：The Harish-Chandra Lefschetz principle says that there are similarities between the representation theories for real and p-adic groups. In this talk, we give one account of such resemblences by constructing an exact functor from the category of Harish-Chandra modules of GL(n,C) to the category of finite-dimensional modules of graded Hecke algebra H_m of Type A.We will show that the functor preserves parabolically induced modules, standard modules, irreducible modules, unitary modules and Dirac series. It also links a Bernstein-Zelevinsky type functor in H_m-module side to tensor decomposition problems on the GL(n,C)-module side.This is a joint work with Kei Yuen Chan.

报告时间：2025年4月9日（星期三）10:30-12:00

报告地点：东32楼216室

邀请人：张庆