## Constructible sheaves in mirror symmetry

David Treumann

Boston College; von Neumann Fellow, School of Mathematics

January 20, 2017

I will survey the coherent-constructible correspondence of Bondal, which embeds the derived category of coherent sheaves on a toric variety into the derived category of constructible sheaves on a compact torus. The tools of the first lecture turn this into a homological mirror theorem -- a pretty strong one, after recent results of Ike and Kuwagaki.