Periodic orbits of exact magnetic flows on surfaces
Event details
| Date | 13.05.2014 |
| Hour | 16:15 › 17:15 |
| Speaker | Marco Mazzucchelli (ENS Lyon) |
| Location |
MA A3 31
|
| Category | Conferences - Seminars |
Geometry and Dynamics Seminar
Abstract: This talk is about periodic obits of exact magnetic flows on the cotangent bundle of closed surfaces. The dynamics of these Hamiltonian systems on high energy levels is well known: it is conjugated to a Reeb flow, and actually to a Finsler geodesic flow. In this talk, I will focus on low energies, more precisely on energies below the so-called Mañé critical value of the universal covering. After introducing the setting, I will present a recent result asserting the existence of infinitely many periodic orbits on almost all energy levels in this range. This is a joint work with A. Abbondandolo, L. Macarini, and G. P. Paternain.
Abstract: This talk is about periodic obits of exact magnetic flows on the cotangent bundle of closed surfaces. The dynamics of these Hamiltonian systems on high energy levels is well known: it is conjugated to a Reeb flow, and actually to a Finsler geodesic flow. In this talk, I will focus on low energies, more precisely on energies below the so-called Mañé critical value of the universal covering. After introducing the setting, I will present a recent result asserting the existence of infinitely many periodic orbits on almost all energy levels in this range. This is a joint work with A. Abbondandolo, L. Macarini, and G. P. Paternain.
Practical information
- Expert
- Free
Organizer
- Sonja Hohloch