Smith Colloquium

March 17, 2020 (Tuesday) 3:00 PM, 306 Snow

Amin Gholampour, University of Maryland

Title: Degeneracy loci and nested Hilbert schemes

Abstract: I I will talk about a natural perfect obstruction theory on some "virtual resolution” of a degeneracy locus of a map of vector bundles over a complex nonsingular quasi-projective variety. The case of nested Hilbert schemes on a nonsingular projective surface is a good example of this construction with applications in Vafa-Witten/reduced local Donaldson-Thomas theory. This is based on a joint work with Richard Thomas.