ABSTRACT: In this talk, I will explain and generalize the following curious observation. First, two things: 1. The quiver Q with one node and g arrows has invariants which are conjecturally dimensions of parts of the middle dimensional cohomology of the twisted character variety of a genus-g surface. 2. There is a famous special-Lagrangian submanifold of six-space defined by Harvey … Read More

ABSTRACT: 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.