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Twisted Jacquet module of a cuspidal representation of GL(n,F_q)

by Dr. Himanshi Khurana, HRI, Prayagraj

Madhava Hall, 3rd Floor, Mathematics Department, Main Academic Building, IISER Pune campus

Abstract

Let G be the general linear group defined over a finite field. The Jacquet module is an important tool in understanding the structure of represen­tations of G. For a cuspidal representation of G, the Jacquet module is trivial. In this situation, one tries to understand the twisted versions of the Jacquet module of the representation. In this talk, we will discuss some results about the structure of twisted Jacquet modules.

Venue: Madhava Hall, 3rd Floor, Mathematics Department, Main Academic Building, IISER Pune campus

Date: Thursday, January 30, 2025

Time: 04:00 pm

Chair: Dr. Krishna Kaipa