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PIRSA:20060047

Video URL

https://pirsa.org/20060047

A categorification of the Lusztig—Vogan module

          @misc{ scivideos_PIRSA:20060047,
            doi = {10.48660/20060047},
            url = {https://pirsa.org/20060047},
            author = {Romanov, Anna},
            keywords = {Mathematical physics},
            language = {en},
            title = {A categorification of the Lusztig{\textemdash}Vogan module},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060047 see, \url{https://scivideos.org/index.php/pirsa/20060047}}
          }

Anna Romanova University of Sydney

Talk numberPIRSA:20060047
DOI10.48660/20060047
Source RepositoryPIRSA
Collection
Talk Type Conference
Subject

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.