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H 1 Constructing simple groups using dynamical systems

Auteurs : Nekrashevych, Volodymyr (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We will show how minimal dynamical systems and etale groupoids can be used to construct finitely generated simple groups with prescribed properties. For example, one can show that there are uncountably many different growth types (in particular quasi-isometry classes) among finitely generated simple groups, or embed the Grigorchuk group into a simple torsion group of intermediate growth. Other properties like torsion and amenability will be also discussed.

    Keywords : simple infinite groups; full groups; amenable groups

    Codes MSC :
    20E32 - Simple groups, See also {20D05}
    20L05 - General theory
    22A22 - Topological groupoids (including differentiable and Lie groupoids)
    37B05 - Transformations and group actions with special properties (minimality, distality, proximality, etc.)

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 28/10/2019
      Date de captation : 10/10/2019
      Collection : Research talks ; Algebra ; Dynamical Systems and Ordinary Differential Equations ; Topology
      Format : MP4
      Durée : 00:53:04
      Domaine : Dynamical Systems & ODE ; Algebra ; Topology
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-10-10_Nekrashevych.mp4

    Informations sur la rencontre

    Nom de la rencontre : Measurable, Borel, and Topological Dynamics / Dynamique mesurable, borélienne et topologique
    Organisateurs de la rencontre : Conley, Clinton ; Melleray, Julien ; Tsankov, Todor ; Tucker-Drob, Robin
    Dates : 07/10/2019 - 11/10/2019
    Année de la rencontre : 2019
    URL Congrès : https://conferences.cirm-math.fr/2080.html

    Citation Data

    DOI : 10.24350/CIRM.V.19567303
    Cite this video as: Nekrashevych, Volodymyr (2019). Constructing simple groups using dynamical systems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19567303
    URI : http://dx.doi.org/10.24350/CIRM.V.19567303


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