Constructible sheaves in mirror symmetry

Homological Mirror Symmetry (minicourse)
Topic:Constructible sheaves in mirror symmetry
Speaker:David Treumann
Affiliation:Boston College; von Neumann Fellow, School of Mathematics
Date:Friday, January 20
Time/Room:10:45am - 12:00pm/S-101
Video Link:https://video.ias.edu/homologmirrorsym/2017/0120-DavidTreumann

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.