Floer theory revisited

Princeton/IAS Symplectic Geometry Seminar
Topic:Floer theory revisited
Speaker:Mohammed Abouzaid
Affiliation:Columbia University
Date:Thursday, February 4
Time/Room:10:30am - 11:45am/S-101
Video Link:https://video.ias.edu/puias/2016/0204-Abouzaid

I will describe a formalism for (Lagrangian) Floer theory wherein the output is not a deformation of the cohomology ring, but of the Pontryagin algebra of based loops, or of the analogous algebra of based discs (with boundary on the Lagrangian). I will explain the consequences of quantum cohomology, and the expected applications of this theory.