Khovanov-Rozansky homology and Hilbert schemes of points on
singular curve -- Alexei Oblomkov, February 25, 2011

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By intersecting a small three-dimensional sphere which
surrounds a singular point of a planar curve, with the curve,
one obtains a link in three-dimensional space. In my talk I
explain a conjectural formula for the Khovanov-Rozansky
homology of the link which interprets the ranks in terms of
topology of some natural stratification on the moduli space of
torsion free sheaves on the curve. In particular I will present
a formula for the ranks of the Khovanov-Rozansky homology of
the torus knots which generalizes Jones formula for HOMFLY
invariants of the torus knots.  The talk presents joint work
with Vivek Shende and Jake Rasmussen.