Quantum periods theorem for Landau-Ginzburg potentials

Princeton/IAS Symplectic Geometry Seminar
Topic:Quantum periods theorem for Landau-Ginzburg potentials
Speaker:Dmitry Tonkonog
Affiliation:University of California, Berkeley
Date:Monday, February 19
Time/Room:4:00pm - 5:00pm/Fine Hall 322, Princeton University

I will report on recently discovered relations between closed Gromov-Witten theory of a Fano variety and open Gromov-Witten theory of Lagrangian submanifolds contained in it. The focus will be on the result saying that the quantum period of a Fano variety equals the classical period of the Landau-Ginzburg potential of any monotone Lagrangian torus sitting inside. This has applications "in both directions", including the classification of potentials of tori in CP2, and a proof of the quantum Lefschetz hyperplane theorem in the symplectic category.