Princeton/IAS Symplectic Geometry Seminar
Topic: Quantum periods theorem for Landau-Ginzburg potentials
Speaker: Dmitry Tonkonog
Affiliation: University of California, Berkeley
Date & Time: Monday February 19th, 2018, 4:00pm - 5:00pm
Location: 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.