RTMP Seminar: Symmetric braiding on the derived category of character sheaves on $GL(n)$

Seminar | February 18 | 4-5 p.m. | 891 Evans Hall

 Kostya Tolmachov, Perimeter Institute and the University of Toronto

 Department of Mathematics

In view of recent developments in knot homologies, it is sometimes desirable to be able to compute Schur functors in certain triangulated categories of adjoint-equivariant sheaves on $GL(n)$. However, canonical braided structures in these categories are not symmetric, so aforementioned functors are not well-defined. I will report on a joint work with Roman Bezrukavnikov, where this deficiency is fixed for the derived category of character sheaves.