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Number Theory Seminar

Title: Generic representations of $p$--adic unitary groups
Speaker: Santosh Nadimpalli (IIT Kanpur)
Date: 01 October 2021
Time: 2 pm
Venue: Microsoft Teams (Online)

In this talk, we will discuss genericity of cuspidal representations of $p$-adic unitary groups. Generic representations play a central role in the local Langlands correspondences and explicit knowledge of such representations will be useful in understanding the local Langlands correspondence in a more explicit way. After a brief review of $p$-adic unitary groups, their unipotent subgroups, Whittaker functionals and genericity of cuspidal representations in this context, we will discuss the arithmetic nature of the problem.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 26 Oct 2021