GEOMETRY/DYNAMICAL SYSTEMS | |

Topic: | A Reidemeister-Singer Conjecture for Surface Diagrams |

Speaker: | Jonathan Williams |

Affiliation: | University of California, Berkeley |

Date: | Friday, December 3 |

Time/Room: | 4:00pm - 5:00pm/S-101 |

Video Link: | https://video.ias.edu/geodyn/williams |

There is a way to specify any smooth, closed oriented four-manifold using a surface decorated with simple closed curves, something I call a surface diagram. In this talk I will describe three moves on these objects, two of which are reminiscent of Heegaard diagrams for three-manifolds. These may form part of a uniqueness theorem for such diagrams that is likely to be useful for understanding Floer theories for non-symplectic four-manifolds.