Tuesday, February 7, 14:00, 7.527 and 15:00, 7.527.
Martina Lanini (Erlangen), Categorification of the parabolic Hecke algebra via sheaves on moment graphs, I and II.

Abstract:
In this talk we will construct a categorification of the parabolic Hecke algebra. In particular, the first part of the presentation will be an introduction to Hecke algebras, (singular) Bruhat moment graphs and sheaves on moment graphs. In the second part, we will associate to any singular Bruhat moment graph an exact category and show that it categorifies the corresponding parabolic Hecke algebra.