Tue, March 25, 2014
3:00 pm - 4:00 pm
MW 154
Title: Hilbert schemes of singular curves and Catalan
Speaker: Eugene Gorsky, Columbia University
Seminar Type: Algebraic Geometry
Abstract: A conjecture of Oblomkov and Shende, recently proven by Maulik, relates the Hilbert schemes of points on a plane curve singularity to the invariants of the corresponding knots. I will describe the homology of these Hilbert schemes for singularities {x^n=y^m} corresponding to torus knots, and relate it to the bigraded deformation of Catalan numbers introduced by Garsia and Haiman. The talk is based on joint works with M. Mazin and A. Negut.