Quasimaps and stable pairs

Abstract: I will explain an equivalence between a flavor of Donaldson-Thomas theory (due to Bryan and Steinberg) on ADE surface fibrations and quasimaps to Hilbert schemes of ADE surfaces. The proof involves an explicit combinatorial description of vertices. The equivalence can be used to relate machinery from both sides, notably an equivariant K-theoretic DT crepant resolution conjecture and 3d mirror symmetry.

algebraic geometry

Audience: researchers in the topic

UBC Vancouver Algebraic Geometry Seminar

Series comments: Recordings and slides are available on the seminar webpage:

wiki.math.ubc.ca/mathbook/alggeom-seminar/Main_Page