GEOMETRY/DYNAMICAL SYSTEMS | |

Topic: | The Cartan Geometry of the Rotating Kepler Problem |

Speaker: | Otto van Koert |

Affiliation: | Seoul National University |

Date: | Friday, January 21 |

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

Video Link: | https://video.ias.edu/gds/koert |

In this talk we shall discuss the Cartan geometry of the rotating Kepler problem. The rotating Kepler problem appears as the limit of the restricted planar three-body body when one of the masses goes to zero. As such, this problem plays the role of a simple approximation. We shall discuss the Cartan curvature and some of its relations with indices in the three-body problem. This is joint work with Kai Cieliebak and Urs Frauenfelder.