K3s as hyperkahler quotients

Abstract: I'll explain in some detail a construction, joint with M. Zimet, of K3 surfaces as hyperkahler quotients as a ("quadruply affine'') generalization of the classical Kronheimer construction using the McKay equivalence. As time permits, I may explain some aspects of our original motivation to use a variant of 3d mirror symmetry to solve for the exact K3 metric and enumerative geometry via open disc counts.

mathematical physicsalgebraic geometrycategory theoryrepresentation theory

Audience: researchers in the topic

UMass Amherst Representation theory seminar