Presentation Date:
Thursday, January 24, 2019
Location:
VUB, Brussels
I’ll discuss recent work on the structure of Heisenberg categories and their generalizations, especially the higher-level Heisenberg categorifications defined by Brundan. This includes the long sought-after identification of their Grothendieck groups with Heisenberg algebras, and a construction of categorical Kac-Moody actions from Heisenberg actions which unifies essentially all examples of categorical Kac-Moody actions of interest to representation theorists. This is joint work with Jonathan Brundan and Alistair Savage.