PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Augustin Banyaga, Stephanie Zerby.

Title:A simple proof of the Conley conjecture for Hamiltonian diffeomorphisms C^1-close to the identity
Seminar:Symplectic Topology Seminar
Speaker:Marco Mazzucchelli, Penn State University
Abstract Link:http://
The Conley conjecture, recently established by Hingston, asserts that every Hamiltonian diffeomorphism of a standard symplectic 2n-torus admits infinitely many periodic points. While this conjecture has been extended to more general closed symplectic manifolds, all the known proofs require sophisticated machinery and somehow lack transparency. In this talk, we use generating function techniques in symplectic geometry to give a simple proof of the conjecture for those Hamiltonian diffeomorphisms of the torus that are C^1-close to the identity.

Room Reservation Information

Room Number:MB315
Date:02 / 09 / 2012
Time:02:30pm - 03:30pm