Homological Mirror Symmetry (minicourse) | |

Topic: | Numerical invariants from bounding chains |

Speaker: | Jake Solomon |

Affiliation: | Hebrew University of Jerusalem; Visitor, School of Mathematics |

Date: | Wednesday, December 14 |

Time/Room: | 10:45am - 12:00pm/S-101 |

Video Link: | https://video.ias.edu/homomirrorsym/2016/1214-JakeSolomon |

I'll begin with a leisurely introduction to Fukaya A-infinity algebras and their bounding chains. Then I'll explain how to use bounding chains to define open Gromov-Witten invariants. The bounding chain invariants can be computed using an open analog of the WDVV equations. This leads to an explicit understanding of the homotopy type of certain Fukaya A-infinity algebras. Also, the bounding chain invariants generalize Welschinger's real enumerative invariants. A nice example is real projective space considered as a Lagrangian submanifold of complex projective space. This is joint work with Sara Tukachinsky.