Braids and sheaves: a geometric incarnation of Khovanov-Rozansky homology

Seminar: 
Colloquium
Event time: 
Wednesday, October 24, 2018 - 4:15pm
Speaker: 
Andrei Negut
Speaker affiliation: 
MIT
Event description: 

In this talk, I will survey recent work on the connection between various categorical knot invariants (e.g. Khovanov’s construction via Soergel bimodules) to categories of coherent sheaves on Hilbert schemes. I will emphasize the conjectural framework proposed by Gorsky, Rasmussen and myself, as well as the matrix factorization version due to Oblomkov and Rozansky. I will end the talk by describing relations between the two approaches.