|Princeton/IAS Symplectic Geometry Seminar|
|Topic:||Quantum periods theorem for Landau-Ginzburg potentials|
|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.