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Artin groups and mapping class groups

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Multi angle
Authors : Hamenstädt, Ursula (Author of the conference)
CIRM (Publisher )

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Abstract : Using a very recent result of Calderon and Salter, we relate small type Artin groups defined by Coxeter diagram which are trees to mapping class groups. This gives information on both the Artin groups with respect to commensurability and hyperbolicity of the parabolic subgroup graph as well as information on the mapping class group and its associated geometric spaces, namely generating sets of finite index subgroups and fundamental groups of strata of abelian differentials. I'll try to highlight the many ways in which this reflects various aspects of Mladen's work.

MSC Codes :
20F65 - Geometric group theory
53C24 - rigidity results
57S25 - Groups acting on specific manifolds

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 18/07/2019
    Conference Date : 20/06/2019
    Subseries : Research talks
    arXiv category : Geometric Topology
    Mathematical Area(s) : Geometry ; Topology
    Format : MP4 (.mp4) - HD
    Video Time : 00:50:56
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2019-06-20_Hamenstadt.mp4

Information on the Event

Event Title : Aspects of Non-Positive and Negative Curvature in Group Theory / Courbure négative et courbure négative ou nulle en théorie des groupes
Event Organizers : Bromberg, Kenneth ; Hilion, Arnaud ; Kazachkov, Ilya ; Sageev, Michah ; Tao, Jing
Dates : 17/06/2019 - 21/06/2019
Event Year : 2019
Event URL : https://conferences.cirm-math.fr/1958.html

Citation Data

DOI : 10.24350/CIRM.V.19539303
Cite this video as: Hamenstädt, Ursula (2019). Artin groups and mapping class groups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19539303
URI : http://dx.doi.org/10.24350/CIRM.V.19539303

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