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.