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Orderability and groups of homeomorphisms of the circle
Multi angle
Authors : Mann, Kathryn (Author of the conference)
CIRM (Publisher )
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 (Publisher )
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Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 11/10/16 Conference Date : 06/10/16 Subseries : Research talks arXiv category : Geometric Topology ; Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE ; Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:51:20 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-10-06_Mann.mp4 
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Information on the Event
Event Title : Surfaces in Luminy / Surfaces à LuminyEvent Organizers : Béguin, François ; Crovisier, Sylvain ; Koropecki, Andres ; Leroux, Frédéric ; Liousse, Isabelle ; Militon, Emmanuel Dates : 03/10/16 - 07/10/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1471.html
Citation Data
DOI : 10.24350/CIRM.V.19067603Cite this video as: 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 |
See Also
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 4 / Author of the conference Tal, Fabio.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 3 / Author of the conference Tal, Fabio.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 2 / Author of the conference Le Calvez, Patrice.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 1 / Author of the conference Le Calvez, Patrice.
Bibliography
- Mann, K., & Rivas, C. (2016). Group orderings, dynamics, and rigidity.
