On Floer cohomology and non-archimedian geometry

Princeton/IAS Symplectic Geometry Seminar
Topic:On Floer cohomology and non-archimedian geometry
Speaker:Mohammed Abouzaid
Affiliation:Columbia University
Date:Friday, February 14
Time/Room:1:30pm - 2:30pm/S-101
Video Link:https://video.ias.edu/pisgs/2014/0214-MohammedAbouzaid

Ideas of Kontsevich-Soibelman and Fukaya indicate that there is a natural rigid analytic space (the mirror) associated to a symplectic manifold equipped with a Lagrangian torus fibration. I will explain a construction which associates to a Lagrangian submanifold a sheaf on this space, and explain how this should be the mirror functor.