Geometry Seminar | |

Topic: | C^0 Limits of Hamiltonian Paths and Spectral Invariants |

Speaker: | Sobhan Seyfaddini |

Affiliation: | University of California at Berkeley |

Date: | Friday, October 28 |

Time/Room: | 1:30pm - 3:00pm/S-101 |

Video Link: | https://video.ias.edu/geometry/seyfaddini |

After reviewing spectral invariants, I will write down an estimate, which under certain assumptions, relates the spectral invariants of a Hamiltonian to the C^0-distance of its flow from the identity. I will also show that, unlike the Hofer norm, the spectral norm is C^0-continuous on surfaces. Time permitting, I will present an application to the study of area preserving disk maps.