Wed, February 21, 2018
4:30 pm - 5:30 pm
Math Tower 154
Title: Perverse sheaves on moment graphs and Soergel category O
Speaker: Shotaro Makisumi (Columbia University)
Abstract: Moment graphs are labeled graphs associated to varieties with a nice torus action and were used by Braden and MacPherson to give a combinatorial algorithm to compute torus-equivariant intersection cohomology. I will explain an analogue of the "mixed derived category" formalism of Achar and Riche in this setting, which leads to a notion of "mixed perverse sheaves" on moment graphs, even those that do not arise from torus-equivariant geometry. I will discuss applications of this construction to the study of the Hecke category.
Seminar URL: https://research.math.osu.edu/reps/