Princeton/IAS Symplectic Geometry Seminar | |

Topic: | Floer theory revisited |

Speaker: | Mohammed Abouzaid |

Affiliation: | Columbia University |

Date: | Thursday, February 4 |

Time/Room: | 10:30am - 11:45am/S-101 |

Video Link: | https://video.ias.edu/puias/2016/0204-Abouzaid |

I will describe a formalism for (Lagrangian) Floer theory wherein the output is not a deformation of the cohomology ring, but of the Pontryagin algebra of based loops, or of the analogous algebra of based discs (with boundary on the Lagrangian). I will explain the consequences of quantum cohomology, and the expected applications of this theory.