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PIRSA:20060047

A categorification of the Lusztig—Vogan module

APA

Romanov, A. (2020). A categorification of the Lusztig—Vogan module. Perimeter Institute for Theoretical Physics. https://pirsa.org/20060047

Anna Romanova University of Sydney

Talk numberPIRSA:20060047
Source RepositoryPIRSA
Talk Type Conference

Abstract

Admissible representations of real reductive Lie groups are a key player in the world of unitary representation theory. The characters of irreducible admissible representations were described by Lustig—Vogan in the 80’s in terms of a geometrically-defined module over the associated Hecke algebra. In this talk, I’ll describe a categorification of this module using Soergel bimodules, with a focus on examples. This is work in progress.