Speaker: Basudev Pattanayak, Univ of Hong Kong

Date & Time: 4 pm, Wednesday, 11 December 2024

Title: Algorithms for Computing Parabolic Inductions and Jacquet Modules for the General Linear Group

Abstract: Let G be a general linear group over a non-Archimedean local field. Parabolic inductions and Jacquet modules are basic tools in the representation theory of G. In this talk, we will discuss algorithms for computing specific Jacquet modules in the form of 'derivatives' and certain parabolic inductions in the form of 'integrals' of irreducible smooth representations of G. These derivatives and integrals are essential for understanding quotient branching laws, particularly in identifying generalized GGP relevant pairs in G. This talk is based on ongoing work with Kei Yuen Chan.