Seminar series
Date
Tue, 26 Nov 2013
Time
15:45 -
16:45
Location
L4
Speaker
Gabriele Benedetti
Organisation
Cambridge
In this talk we aim to study periodic orbits on the energy levels of a symplectic magnetic flow on the two-sphere using methods from contact geometry. In particular we show that, if the energy is low enough, we either have two or infinitely many closed orbits. The second alternative holds if there exists a prime contractible periodic orbit. Finally we present some generalisations and work in progress for closed orientable surfaces of higher genus.