Eugene Gorsky (UC Davis):

Khovanov-Rozansky homology and Hilbert schemes

Khovanov and Rozansky introduced a knot homology theory generalizing the HOMFLY polynomial.
I will describe a conjectural relation between the Khovanov-Rozansky homology and the homology of
sheaves on the flag Hilbert scheme of points on the plane. The talk is based on the joint work with Andrei Negut
and Jacob Rasmussen.