The first two lectures will present the fundamental results of symplectic topology : basic definitions, Moser’s lemma, normal forms of the symplectic structure near symplectic and Lagrangian submanifolds, characterization of Hamiltonian fibrations over any CW-complex. The third course will give the application of quantum homology to the splitting of the rational cohomology ring of any Hamiltonian fibration over S2, a generalization of a result of Deligne in the algebraic case and of Kirwan in the toric case. The fourth course will give the application of the quantum homology of a Lagrangian submanifold to the proof of the triviality of the monodromy of a weakly exact Lagrangian submanifold in any symplectic manifold.
De Dominique Cerveau
De Dominique Cerveau
De Dominique Cerveau
De Dominique Cerveau
De Jean-Pierre Demailly
De Jean-Pierre Demailly
De Jean-Pierre Demailly
De Jean-Pierre Demailly
De Franc Forstneric
De Franc Forstneric
De Franc Forstneric
De Franc Forstneric
De Serguei Ivachkovitch
De Serguei Ivachkovitch
De Serguei Ivachkovitch
De Julien Duval
De Julien Duval
De Andrei Teleman
De Andrei Teleman
De Andrei Teleman
De Andrei Teleman
De François Lalonde
De François Lalonde
De François Lalonde
De François Lalonde
De Ronald Coifman
