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Hilbert schemes, combinatorics, and character varieties

Algebra & Discrete Mathematics

Speaker: Erik Carlsson, UC Davis
Location: 1147 MSB
Start time: Mon, Oct 10 2016, 4:10PM

I'll explain recent developments on some remarkable conjectures of Hausel, Letellier, and Villegas, relating the Betti numbers (and more general mixed Hodge polynomials) of the character variety with combinatorial formulas that appear in studying sheaves on the Hilbert scheme of points in the plane. This will hopefully be a fairly accessible talk.