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Dynamics of surface homeomorphisms and fine curve graph

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Authors : Militon, Emmanuel (Author of the conference)
CIRM (Publisher )

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Abstract : The fine curve graph of a closed surface is a graph on which the group of homeomorphisms of the surface acts faithfully by isometries. This graph is Gromov-hyperbolic. In this talk, we will explore the links between the dynamics of a surface homeomorphism and the type of isometry of its action on the fine curve graph. Joint works with Jonathan Bowden, Sebastian Hensel, Kathryn Mann, and Richard Webb and with Pierre-Antoine Guihéneuf.

Keywords : five curve graph; rotation sets; surface homeomorphisms; geometric group theory

MSC Codes :
20F65 - Geometric group theory
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
37E45 - Rotation numbers and vectors
57M60 - Group actions in low dimensions
57S05 - Topological properties of groups of homeomorphisms or diffeomorphisms

    Information on the Video

    Film maker : Recanzone, Luca
    Language : English
    Available date : 10/01/2025
    Conference Date : 12/12/2024
    Subseries : Research talks
    arXiv category : Dynamical Systems ; Group Theory ; Geometric Topology
    Mathematical Area(s) : Dynamical Systems & ODE ; Geometry ; Topology
    Format : MP4 (.mp4) - HD
    Video Time : 01:05:58
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2024-12-12_Militon.mp4

Information on the Event

Event Title : Foliations and Diffeomorphism Groups / Feuilletages et Groupes de Difféomorphisme
Event Organizers : Eynard-Bontemps, Hélène ; Meigniez, Gaël ; Nariman, Sam ; Yazdi, Mehdi
Dates : 09/12/2024 - 13/12/2024
Event Year : 2024
Event URL : https://conferences.cirm-math.fr/3082.html

Citation Data

DOI : 10.24350/CIRM.V.20275303
Cite this video as: Militon, Emmanuel (2024). Dynamics of surface homeomorphisms and fine curve graph. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20275303
URI : http://dx.doi.org/10.24350/CIRM.V.20275303

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