Alexandre Sukhov - J-complex curves: some applications (Part 4) - Archive ouverte HAL Accéder directement au contenu
Vidéo Année : 2012

Alexandre Sukhov - J-complex curves: some applications (Part 4)

Afficher 

Robert Binder
  • Fonction : Monteur
Bastien Fanny

Résumé

We will focus in our lectures on the following : 1. J-complex discs in almost complex manifolds : general properties. Linearization and compactness. Gromov’s method : the Fredholm alternative for the d-bar operator. Attaching a complex disc to a Lagrangian manifold. Application : exotic symplectic structures. Hulls of totally real manifolds : Alexander’s theorem. 2. Real surfaces in (almost) complex surfaces. Filling real 2-spheres by a Levi-flat hypersurface (Bedford -Gaveau-Gromov theorem). Some applications. Symplectic and contact structures. Reeb foliation and the Weinsten conjecture. Hofer’s proof of the Weinstein conjecture. 3. J-complex lines and hyperbolicity. The KAM theory and Moser’s stability theorem for entire J-complex curves in tori. Global deformation and Bangert’s theorem.

Dates et versions

medihal-01320340 , version 1 (23-05-2016)
medihal-01320340 , version 2 (08-08-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01320340 , version 2

Citer

Alexandre Sukhov, Robert Binder, Bastien Fanny. Alexandre Sukhov - J-complex curves: some applications (Part 4): Summer School 2012 - Foliations, Pseudoholomorphic curves, Applications. 2012. ⟨medihal-01320340v2⟩
302 Consultations
30 Téléchargements

Partager

Gmail Facebook X LinkedIn More