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Presented By: Department of Mathematics

Geometry & Physics

On a conjecture of Lehn

Formulas for the integrals of top Segre classes of tautological bundles over the Hilbert scheme of points of surfaces were conjectured in closed form by Lehn in 1999. I will explain a proof of this conjecture for K-trivial surfaces. Key to the argument are a set of recursions obtained by equivariant localization of the virtual class of a suitable Quot scheme. The recursions determining the Segre integrals fit into a much wider theory aimed at the study of tautological classes over the moduli space of K3 surfaces. This is based on joint work with Alina Marian and Rahul Pandharipande. Speaker(s): Dragos Oprea (UCSD)

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