English
Orderability and groups of homeomorphisms of the circle
Multi angle
Auteurs : Mann, Kathryn (Auteur de la Conférence)
CIRM (Editeur )
20F60 - Ordered groups (group aspects)
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
57S05 - Topological properties of groups of homeomorphisms or diffeomorphisms
58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds
CIRM (Editeur )
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Résumé :
As a counterpart to Deroin's minicourse, we discuss actions of groups on the circle in the C0 setting. Here, many dynamical properties of an action can be encoded by the algebraic data of a left-invariant circular order on the group. I will highlight rigidity and flexibility phenomena among group actions, and discuss new work with C. Rivas relating these to the natural topology on the space of circular orders on a group.
Codes MSC : 20F60 - Ordered groups (group aspects)
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
57S05 - Topological properties of groups of homeomorphisms or diffeomorphisms
58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 11/10/16 Date de captation : 06/10/16 Sous collection : Research talks arXiv category : Geometric Topology ; Dynamical Systems Domaine : Dynamical Systems & ODE ; Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 00:51:20 Audience : Researchers Download : https://videos.cirm-math.fr/2016-10-06_Mann.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Surfaces in Luminy / Surfaces à LuminyOrganisateurs de la rencontre : Béguin, François ; Crovisier, Sylvain ; Koropecki, Andres ; Leroux, Frédéric ; Liousse, Isabelle ; Militon, Emmanuel Dates : 03/10/16 - 07/10/16 Année de la rencontre : 2016 URL Congrès : http://conferences.cirm-math.fr/1471.html
Données de citation
DOI : 10.24350/CIRM.V.19067603Citer cette vidéo: Mann, Kathryn (2016). Orderability and groups of homeomorphisms of the circle. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19067603 URI : http://dx.doi.org/10.24350/CIRM.V.19067603 |
Voir aussi
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 4 / Auteur de la Conférence Tal, Fabio.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 3 / Auteur de la Conférence Tal, Fabio.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 2 / Auteur de la Conférence Le Calvez, Patrice.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 1 / Auteur de la Conférence Le Calvez, Patrice.
Bibliographie
- Mann, K., & Rivas, C. (2016). Group orderings, dynamics, and rigidity.
