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H 1 On the algebraic structure of groups of area-preserving homeomorphisms

Auteurs : Seyfaddini, Sobhan (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : In the late 70s, Fathi showed that the group of compactly supported volume-preserving homeomorphisms of the ball is simple in dimensions greater than 2. We present our recent article which proves that the remaining group, that is area-preserving homeomorphisms of the disc, is not simple. This settles what is known as the simplicity conjecture in the affirmative. This is joint work with Dan Cristofaro-Gardiner and Vincent Humiliere.

    Keywords : simplicity; area-preserving homeomorphisms; disc; sphere; periodic Floer homology

    Codes MSC :
    37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
    53D40 - Floer homology and cohomology, symplectic aspects
    53DXX - Symplectic geometry, contact geometry


      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 17/05/2021
      Date de captation : 26/04/2021
      Sous collection : Research School
      Format : MP4
      arXiv category : Symplectic Geometry ; Dynamical Systems
      Domaine : Dynamical Systems & ODE ; Geometry ; Topology
      Durée : 00:57:47
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2021-04-26_Seyfaddini.mp4

    Informations sur la Rencontre Virtuelle

    Nom de la rencontre : From Hamiltonian Dynamics to Symplectic Topology
    Organisateurs de la rencontre : Damian, Mihai ; Hofer, Helmut ; Humilière, Vincent ; Oancea, Alexandru ; Vichery, Nicolas
    Dates : 26/04/2021 - 30/04/2021
    Année de la rencontre : 2021
    URL Congrès : https://conferences.cirm-math.fr/2558.html

    Citation Data

    DOI : 10.24350/CIRM.V.19751103
    Cite this video as: Seyfaddini, Sobhan (2021). On the algebraic structure of groups of area-preserving homeomorphisms.CIRM . Audiovisual resource. doi:10.24350/CIRM.V.19751103
    URI : http://dx.doi.org/10.24350/CIRM.V.19751103


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