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Symmetric braiding on the derived category of character sheaves on GL(n)

Algebraic Geometry

Speaker: Kostya Tolmachov, University of Toronto
Related Webpage: http://tolmak.khtos.com/
Location: 2112 MSB
Start time: Wed, Feb 19 2020, 12:10PM

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.