PIRSA:20060047

A categorification of the Lusztig—Vogan module

APA

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

MLA

Romanov, Anna. A categorification of the Lusztig—Vogan module. Perimeter Institute, Jun. 25, 2020, https://pirsa.org/20060047

BibTex

          @misc{ 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},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060047 see, \url{https://pirsa.org}}
          }
          

Anna Romanova University of Sydney

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.