Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :

Le 13 janvier 2011 à 11:15 - salle 431

Présentée par Rossi Paolo - Paris 6

Studying hamiltonian systems of Symplectic Field Theory

Symplectic Field Theory attaches to a contact manifold an infinite dimensional Poisson algebra and an infinite system of commuting elements therein. Such Hamiltonian system is an invariant of the contact structure. Older Gromov-Witten theory results (Witten, Kontsevich, Dubrovin, Givental) suggest to study the properties of such hamiltonian system and its possible integrability. In a joint project with O. Fabert we are covering the first steps of this program.