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Generic Representations and ABV packets for p-adic Groups

Speaker: Sarah Dijols

Date: Thu, Apr 18, 2024

Location: PIMS, University of British Columbia

Conference: UBC Number Theory Seminar

Subject: Mathematics, Number Theory

Class: Scientific

Abstract:

After a brief introduction on the theory of p-adic groups complex representations, I will explain why tempered and generic Langlands parameters are open. I will further derive a number of consequences, in particular for the enhanced genericity conjecture of Shahidi and its analogue in terms of ABV packets. This is a joint work with Clifton Cunningham, Andrew Fiori, and Qing Zhang.