Géométrie et dynamique dans les espaces de modules

Séminaire Mensuel

Séminaire - Mai

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

  • 24/05/2017 - Giovanni Forni (University of Maryland)  -  salle 421

  • Titre: Bufetov functionals for Heisenberg nilflows (joint work, in progress, with A. Kanigowski)

    Resumé:We construct Bufetov functionals for nilpotent flows on (compact) Heisenberg nilmanifolds. Such functionals were first constructed by Bufetov for Interval Exchange Transformations and Translation flows, and later for horocycle flows by Bufetov and myself. The main applications are polynomial mixing rates for non-trivial time-changes (improving on a result by Avila, Ulcigrai and myself that such flows are mixing), and limit theorems for Heisenberg nilflows (refining results of Griffin and Marklof on the related question of limit distributions of theta sum).