GEOMETRY/DYNAMICAL SYSTEMS SEMINAR | |

Topic: | The Picard Lefschetz Theory of Complexified Morse Functions |

Speaker: | Joseph Johns |

Affiliation: | Columbia University |

Date: | Tuesday, April 13 |

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

We will explain how to construct a symplectic Lefschetz fibration with explicit regular fiber and vanishing spheres which models a complexified Morse function on a cotangent bundle. We will sketch at the end how this leads to a definition of generalized matching paths and other applications to the study of Lagrangians in cotangent bundles.