EVENT DETAILS AND ABSTRACT

Title: T-duality and the coherent-constructible correspondence for toric varieties
Speaker: Bohan Fang
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

Given any equivariant holomorphic line bundle on a toric variety, I will describe how to apply T-duality to produce a Lagrangian in its mirror space. This Lagrangian can be further equated with a constructible sheaf by Nadler-Zaslow's microlocalization theorem. This correspondence between equivariant line bundles and constructible sheaves turns out to be a coherent-constructible functor which is an equivalence. Passing to K-theory recovers the isomorphism given by Morelli.