Algebraic Geometry Seminar

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Stable Pairs and Knot Invariants

Speaker: Davesh Maulik, Columbia University

Location: Warren Weaver Hall 201

Date: Tuesday, November 4, 2014, 3:30 p.m.

Synopsis:

Given a planar curve singularity, Oblomkov and Shende conjectured a precise relationship between the geometry of its Hilbert scheme of points and the HOMFLY polynomial of the associated link. I will explain a proof of this conjecture, as well as a generalization to colored invariants. As time permits, I'll explain one approach to understanding these questions for homological invariants too.