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

报告人：黄家裕 香港中文大学(深圳)

时间：2023/12/28, 10:00-11:00

地点: 维格堂319

报告摘要：The Harish-Chandra Lefschetz principle says that the representation theories for real groups and p-adic groups are similar. In this talk, we give one account of such similarities 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.

欢迎参加！

邀请人：白占强, 董超平