PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Federico Rodriguez Hertz, Stephanie Zerby, Anatole Katok, Boris Kalinin, Dmitri Burago.

Title:Reeb dynamics and symplectically degenerate extrema
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Doris Hein, Institute for Advanced Study, Princeton
Abstract:
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 contact homology.

Room Reservation Information

Room Number:MB114
Date:02 / 18 / 2013
Time:03:35pm - 04:35pm