English
Dynamics of surface homeomorphisms and fine curve graph
Multi angle
Auteurs : Militon, Emmanuel (Auteur de la Conférence)
CIRM (Editeur )
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
CIRM (Editeur )
Loading the player...
|
Résumé :
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
Codes MSC : Keywords : five curve graph; rotation sets; surface homeomorphisms; geometric group theory
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
|
Informations sur la Vidéo
Réalisateur : Recanzone, LucaLangue : Anglais Date de publication : 10/01/2025 Date de captation : 12/12/2024 Sous collection : Research talks arXiv category : Dynamical Systems ; Group Theory ; Geometric Topology Domaine : Dynamical Systems & ODE ; Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 01:05:58 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-12-12_Militon.mp4 
|
Informations sur la Rencontre
Nom de la rencontre : Foliations and Diffeomorphism Groups / Feuilletages et Groupes de DifféomorphismeOrganisateurs de la rencontre : Eynard-Bontemps, Hélène ; Meigniez, Gaël ; Nariman, Sam ; Yazdi, Mehdi Dates : 09/12/2024 - 13/12/2024 Année de la rencontre : 2024 URL Congrès : https://conferences.cirm-math.fr/3082.html
Données de citation
DOI : 10.24350/CIRM.V.20275303Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] On the group of real-analytic diffeomorphisms - lecture 3 / Auteur de la Conférence Takashi, Tsuboi.
- [Multi angle] On the group of real-analytic diffeomorphisms - lecture 2 / Auteur de la Conférence Takashi, Tsuboi.
- [Multi angle] On conjugate actions in dimension 1: applications to deformation and distortion - Lecture 3 / Auteur de la Conférence Navas, Andrès.
- [Multi angle] On conjugate actions in dimension 1: applications to deformation and distortion - Lecture 2 / Auteur de la Conférence Navas, Andrès.
- [Multi angle] Groups of Anosov-like homeomorphisms and foliations of the plane - lecture 3 / Auteur de la Conférence Mann, Kathryn.
- [Multi angle] Groups of Anosov-like homeomorphisms and foliations of the plane -Lecture 2 / Auteur de la Conférence Mann, Kathryn.
- [Multi angle] Veering triangulations and transverse foliations / Auteur de la Conférence Zung, Jonathan.
- [Multi angle] On the group of real-analytic diffeomorphisms - Lecture 1 / Auteur de la Conférence Takashi, Tsuboi.
- [Multi angle] Persistently foliar knots / Auteur de la Conférence Roberts, Rachel.
- [Multi angle] On conjugate actions in dimension 1: applications to deformation and distortion - Lecture 1 / Auteur de la Conférence Navas, Andrès.
- [Multi angle] Using ergodic theory to study the cohomology of diffeomorphism groups / Auteur de la Conférence Monod, Nicolas.
- [Multi angle] Taut foliations through a contact lens / Auteur de la Conférence Massoni, Thomas.
- [Multi angle] Groups of Anosov-like homeomorphisms and foliations of the plane - lecture 1 / Auteur de la Conférence Mann, Kathryn.
- [Multi angle] Torus homeomorphisms and the fine curve graph / Auteur de la Conférence Le Roux, Frédéric.
- [Multi angle] Critical regularity and subexponential growth / Auteur de la Conférence Kim, Sang-Hyun.
- [Multi angle] Recent progress on groups of area-preserving homeomorphisms / Auteur de la Conférence Humilière, Vincent.
- [Multi angle] Distortion elements in groups of interval diffeomorphisms / Auteur de la Conférence Eynard-Bontemps, Hélène.
- [Multi angle] Foliations on the plane $ \mathbb{R}^{2}$, pre-laminations on the circle $\mathbb{S}^{1}$, group actions on the circle $\mathbb{S}^{1}$ / Auteur de la Conférence Bonatti, Christian.
Bibliographie
- MILITON, Emmanuel, BOWDEN, Jonathan, HENSEL, Sebastian, et al. Rotation sets and actions on curves. 2021. - https://doi.org/10.48550/arXiv.2104.11217
Imagette Video
