PIRSA:20060047 Conference Mathematical physics

DOI10.48660/20060047

Conference/School: Geometric Representation Theory

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

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

@misc{ pirsa_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}}
}

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.

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