GEOMETRY/DYNAMICAL SYSTEMS SEMINAR | |

Topic: | On the Multiplicity of Periodic Orbits for Tonelli Systems |

Speaker: | Marco Mazzucchelli |

Affiliation: | Max Planck Institute for Mathematics, Leipzig, Germany |

Date: | Tuesday, April 20 |

Time/Room: | 4:30pm - 5:30pm/S-101 |

In this talk I shall sketch a proof of the following result: on a closed configuration space M, the Euler-Lagrange system associated to any time-periodic Tonelli Lagrangian function L : R/Z x TM --> R admits infinitely many periodic solutions. More precisely, I will show that there are infinitely many contractible periodic orbits with a priori bounded mean action and either infinitely many of them are 1-periodic or their basic period is unbounded.