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H 1 Groups with Bowditch boundary a 2-sphere

Auteurs : Tshishiku, Bena (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Bestvina-Mess showed that the duality properties of a group $G$ are encoded in any boundary that gives a Z-compactification of $G$. For example, a hyperbolic group with Gromov boundary an $n$-sphere is a PD$(n+1)$ group. For relatively hyperbolic pairs $(G,P)$, the natural boundary - the Bowditch boundary - does not give a Z-compactification of G. Nevertheless we show that if the Bowditch boundary of $(G,P)$ is a 2-sphere, then $(G,P)$ is a PD(3) pair.
    This is joint work with Genevieve Walsh.

    Codes MSC :
    20F65 - Geometric group theory
    20F67 - Hyperbolic groups and nonpositively curved groups
    57M07 - Topological methods in group theory
    57M50 - Geometric structures on low-dimensional manifolds

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 07/03/2018
      Date de captation : 27/02/2018
      Sous collection : Research talks
      Format : MP4
      arXiv category : Group Theory
      Domaine : Topology ; Geometry
      Durée : 00:58:16
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2018-02-27_Tshishiku.mp4

    Informations sur la rencontre

    Nom de la rencontre : Jean-Morlet chair: Structure of 3-manifold groups / Chaire Jean-Morlet : Structures des groupes de 3-variétés
    Organisateurs de la rencontre : Haïssinsky, Peter ; Paoluzzi, Luisa ; Walsh, Genevieve
    Dates : 26/02/2018 - 02/03/2018
    Année de la rencontre : 2018
    URL Congrès : https://www.chairejeanmorlet.com/1904.html

    Citation Data

    DOI : 10.24350/CIRM.V.19368003
    Cite this video as: Tshishiku, Bena (2018). Groups with Bowditch boundary a 2-sphere. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19368003
    URI : http://dx.doi.org/10.24350/CIRM.V.19368003


    1. Tshishiku, B., & Walsh, G. (2017). On groups with $S^2$ Bowditch boundary. - https://arxiv.org/abs/1710.09018