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A categorification of the Lusztig-Vogan module

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Anna Romanov
University of Sydney
Don, 25/06/2020 - 22:00 - 22:30

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 Lusztig-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.

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