For more information about this meeting, contact Federico Rodriguez Hertz, Anatole Katok, Dmitri Burago.
|Title:||Reeb dynamics and symplectically degenerate extrema|
|Seminar:||Center for Dynamics and Geometry Seminar|
|Speaker:||Doris Hein, Institute for Advanced Study, Princeton|
|In this talk, I will discuss the dynamics of the Reeb flow and show
that the Reeb vector field of every contact form supporting the tight
three-sphere has at least two periodic orbits. Moreover, the existence
of a special periodic orbit, a contact analog of a symplectically
degenerate maximum, implies that there are infinitely many periodic
orbits on a certain class of contact manifolds.
The methods are taken from Hamiltonian dynamics on symplectic
manifolds, in particular from the proof of the Hamiltonian Conley
conjecture, and an isomorphism between local Floer homology and local
Room Reservation Information
|Date:||02 / 18 / 2013|
|Time:||03:35pm - 04:35pm|