Hamiltonian Dynamics in Symplectic and Spectral Geometry

Jeudi 28 janvier 2010 14:00-15:00 - Pelayo Alvaro - Berkeley

Résumé : We introduce symplectic manifolds, symplectic torus actions and integrable systems, and some of the most classical results about them. Next we will present the recent classification of symplectic 2-torus actions on 4-manifolds, and the recent classification of integrable systems on 4-manifolds for which one component of the system is peridic. Finally, we will mention an inverse spectral conjecture for this type of integrable systems and give some preliminary evidence to support it. The talk is partly based on joint works with JJ Duistermaat and S. Vu Ngoc.

Lieu : bât. 425 - 121-123

Hamiltonian Dynamics in Symplectic and Spectral Geometry  Version PDF