Géométrie et dynamique dans les espaces de modules

Séminaire Hebdomadaire

Séminaires - Juin

Le séminaire aura lieu tous les mercredi de 14h à 15h à l'Institut Henri Poincaré à Paris.  Pour télécharger le programme du mois: juin.pdf.

  • 04/06/2014 - Samuel Grushevsky  (Stony Brook University)  -  salle 01

  • Titre: Meromorphic differentials with real periods, and the geometry of the moduli space of curves

  • 11/06/2014Sasha Skripchenko  (Université Paris 7) /
                             Pascal Hubert (Université de Marseille)  -  salle 01

  • Titre:  Diffusion for a chaotic plane sections of 3-periodic surfaces

    Résumé: Studying of asymptotic behavior of plane sections of 3-periodic surfaces was initiated by S. P. Novikov in 1982. Now all interesting remaining questions in this context are devoted to so called chaotic sections. In the talk, we discuss some applications of the dynamical tools to this topological problem. Namely, we use a natural generalization of interval exchange transformations – systems of isometries – and introduce Lyapunov exponents for a suspension flow of this kind of systems. For a very particular family of chaotic sections we express a diffusion rate of the trajectory in a terms of our Lyapunov exponents and prove that it is always strictly less than 1. By the last we answer on a question suggested us by A. Zorich.

  • 18/06/2014Ivan Dynnikov  (Moscow State University)  -  salle 01

  • Titre: Plane sections of 3-periodic surfaces in the 3-space: integrability and chaos

  • 25/06/2014pas de séminaire