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H 1 Homomorphisms to 3-manifold groups and other families

Auteurs : Groves, Daniel (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We are interested in the structure of the set of homomorphisms from a fixed (but arbitrary) finitely generated group G to the groups in some fixed family (such as the family of 3-manifold groups). I will explain what one might hope to say in different situations, and explain some applications to relatively hyperbolic groups and acylindrically hyperbolic groups, and some hoped-for applications to 3-manifold groups.
    This is joint work with Michael Hull and joint work in preparation with Michael Hull and Hao Liang.

    Codes MSC :
    20E08 - Groups acting on trees
    20F65 - Geometric group theory
    20F67 - Hyperbolic groups and nonpositively curved groups
    57M07 - Topological methods in group theory
    57N10 - Topology of general 3-manifolds

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 07/03/2018
      Date de captation : 01/03/2018
      Sous collection : Research talks
      Format : MP4
      arXiv category : Geometric Topology ; Group Theory
      Domaine : Topology ; Geometry
      Durée : 00:57:08
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2018-03-01_Groves.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.19368503
    Cite this video as: Groves, Daniel (2018). Homomorphisms to 3-manifold groups and other families. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19368503
    URI : http://dx.doi.org/10.24350/CIRM.V.19368503


    1. Groves, D., & Hull, M. (2017). Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families. - https://arxiv.org/abs/1704.03491