December 9, 5:40, Math 507

December 9: Ben Gammage

Title: Hyperkahler geometry and (2d) mirror symmetry

Abstract:

Focusing on the particular example of multiplicative hypertoric varieties, we discuss the symplectic geometry of spaces which appear as moduli of 4d N=2 theories. We will explain both structural features of this geometry and some concrete calculations which can be used to prove homological mirror symmetry. This is based on joint work with Michael McBreen and Ben Webster, and possibly also on work with Ian Le.