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
- 11/06/2014
- Sasha
Skripchenko
(Université Paris 7) /
Pascal Hubert (Université de Marseille) - salle 01 - 18/06/2014 - Ivan Dynnikov (Moscow State University) - salle 01
- 25/06/2014 - pas de séminaire
Titre: Meromorphic
differentials with real periods, and the geometry of the moduli space
of curves
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.
Titre: Plane
sections of 3-periodic surfaces in the 3-space: integrability and chaos