2024 - T2 - WS1 - Low dimensional actions

Collection 2024 - T2 - WS1 - Low dimensional actions

Organizer(s) Fisher, David ; Hensel, Sebastian ; Mann, Kathryn ; Rivas, Cristobal ; Triestino, Michele

Date(s) 29/04/2024 - 04/05/2024

linked URL https://indico.math.cnrs.fr/event/9044/

16 21

Dynamics of homeomorphisms of surfaces and fine curve graph - Part 2

By Emmanuel Militon

The fine curve graph of a closed surface is a Gromov hyperbolic graph on which the group of homeomorphisms of the surface acts faithfully by isometry. In this mini-course, we will explore the links between the dynamics of a homeomorphism of the surface and the isometry type of its action on the fine curve graph. The first talk will be devoted to a dynamical characterization of homeomorphisms which act hyperbolically on the fine curve graph.

During the second talk, we will see examples of homeomorphisms which act parabolically on the fine curve graph and some results about them.

This is joint work with Jonathan Bowden, Sebastian Hensel, Kathryn Mann and Richard Webb for one aspect, and with Pierre-Antoine Guihéneuf for another.

Information about the video

Date of recording 03/05/2024
Date of publication 03/05/2024
Institution IHP
Licence CC BY-NC-ND
Language English
Audience Researchers, Graduate Students
Director(s) Alexandre Duplessis, Fabrizio Scapin
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2024.T2.WS1.016
Cite this video Militon, Emmanuel (03/05/2024). Dynamics of homeomorphisms of surfaces and fine curve graph - Part 2. IHP. Audiovisual resource. DOI: 10.57987/IHP.2024.T2.WS1.016
URL https://dx.doi.org/10.57987/IHP.2024.T2.WS1.016

Domain(s)

Dynamical Systems

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