Koszul homology and knot invariants

Eugene Gorsky, September 17th, 2013

I will discuss two Koszul complexes associated with non-regular systems of equations
which describe certain arc spaces. The homology of the first complex is related to the
colored HOMFLY invariants of torus knots, while the homology of the second one
conjecturally matches Khovanov homology. The talk is based on joint works with
P. Etingof and I. Losev, A. Oblomkov and J. Rasmussen.