Donaldson-Thomas theory and tautological bundles on Hilbert schemes of points on surfaces

28 January 2020
15:30
Noah Arbesfeld
Abstract

Tautological bundles on Hilbert schemes of points often enter into enumerative and physical computations. I will explain how to use the Donaldson-Thomas theory of toric threefolds to produce combinatorial identities that are expressed geometrically using tautological bundles on the Hilbert scheme of points on a surface. I'll also explain how these identities can be used to study Euler characteristics of tautological bundles over Hilbert schemes of points on general surfaces.

  • Algebraic Geometry Seminar