Vendredi 14 janvier 2011
Une séance "hors les murs" du séminaire SymplectiX avec deux exposés
10h Lino Amorim (Université du WISCONSIN):
Floer Cohomology in Fano Toric Manifolds
Résumé : In this talk, we consider the Floer cohomology between torus bers and the real Lagrangian in Fano toric manifolds. We investigate the conditions under which the Floer cohomology is defined, and develop a combinatorial description of the Floer complex based on the polytope of the toric manifold. We use this result to develop some applications to non-displaceability and the minimum number of intersection points under Hamiltonian isotopy. (This is joint work with Garrett Alston)
11h15 Frol Zapolsky (IHÉS) :
Orders and quasi-morphisms on groups, and symplectic geometry
Résumé : This is an expository talk based on the work of many people, most notably Polterovich, Eliashberg, Ben Simon, Hartnick, and Givental. I'll try to outline the connection between order-preserving actions of a group on certain posets and quasi-morphisms on that group. An example in the context of symplectic geometry is furnished by Givental's non-linear Maslov index.
Nous vous suggérons d'assister au Séminaire de Dynamique (même Salle 502) :
14h-16h : Maxime Zavidovique (ÉNS-Lyon):
Theorie KAM faible et Hamiltoniens en involution
10h Lino Amorim (Université du WISCONSIN):
Floer Cohomology in Fano Toric Manifolds
Résumé : In this talk, we consider the Floer cohomology between torus bers and the real Lagrangian in Fano toric manifolds. We investigate the conditions under which the Floer cohomology is defined, and develop a combinatorial description of the Floer complex based on the polytope of the toric manifold. We use this result to develop some applications to non-displaceability and the minimum number of intersection points under Hamiltonian isotopy. (This is joint work with Garrett Alston)
11h15 Frol Zapolsky (IHÉS) :
Orders and quasi-morphisms on groups, and symplectic geometry
Résumé : This is an expository talk based on the work of many people, most notably Polterovich, Eliashberg, Ben Simon, Hartnick, and Givental. I'll try to outline the connection between order-preserving actions of a group on certain posets and quasi-morphisms on that group. An example in the context of symplectic geometry is furnished by Givental's non-linear Maslov index.
Nous vous suggérons d'assister au Séminaire de Dynamique (même Salle 502) :
14h-16h : Maxime Zavidovique (ÉNS-Lyon):
Theorie KAM faible et Hamiltoniens en involution