Algebraic Geometry - Eugene Gorsky

Eugene Gorsky
March 25, 2014
3:00 pm - 4:00 pm
MW 154

Date Range
2014-03-25 15:00:00 2014-03-25 16:00:00 Algebraic Geometry - Eugene Gorsky Title:  Hilbert schemes of singular curves and CatalanSpeaker: Eugene Gorsky, Columbia UniversitySeminar Type:  Algebraic GeometryAbstract: 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. MW 154 America/New_York public

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.

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