Marco Mazzuchelli

This talk is about the existence of 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 the talk, I will focus on low energies, more precisely on energies below the
so-called Mañé critical value of the universal cover. 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.