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_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}} }
University of Sydney
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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.