Princeton/IAS Symplectic Geometry Seminar | |

Topic: | Calabi-Yau mirror symmetry: from categories to curve-counts |

Speaker: | Tim Perutz |

Affiliation: | University of Texas at Austin |

Date: | Friday, November 15 |

Time/Room: | 1:30pm - 2:30pm/S-101 |

Video Link: | https://video.ias.edu/pisgs/2013/1115-TimPerutz |

I will report on joint work with Nick Sheridan concerning structural aspects of mirror symmetry for Calabi-Yau manifolds. We show (i) that Kontsevich's homological mirror symmetry (HMS) conjecture is a consequence of a fragment of the same conjecture which we expect to be much more amenable to proof; and, in ongoing work, (ii) that from HMS one can deduce (some of) the expected equalities between genus-zero Gromov-Witten invariants of a CY manifold and the Yukawa couplings of its mirror.