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Space of actions of groups on the real line
Multi angle
Authors : Deroin, Bertrand (Author of the conference)
CIRM (Publisher )
20F60 - Ordered groups (group aspects)
37B05 - Transformations and group actions with special properties (minimality, distality, proximality, etc.)
57R30 - Foliations; geometric theory
37E10 - Dynamical systems involving maps of the circle
22F50 - Groups as automorphisms of other structures
CIRM (Publisher )
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Abstract :
In these lectures, we will report on some properties of the space of actions of a left-orderable group on the real line. We will notably describe the almost-periodic actions, the harmonic actions and their spaces.
Keywords : Left-orderable groups; semi-simple Lie groups; lattices
MSC Codes : Keywords : Left-orderable groups; semi-simple Lie groups; lattices
20F60 - Ordered groups (group aspects)
37B05 - Transformations and group actions with special properties (minimality, distality, proximality, etc.)
57R30 - Foliations; geometric theory
37E10 - Dynamical systems involving maps of the circle
22F50 - Groups as automorphisms of other structures
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 07/05/2024 Conference Date : 17/04/2024 Subseries : Research School arXiv category : Group Theory ; Dynamical Systems Mathematical Area(s) : Algebra ; Dynamical Systems & ODE ; Lie Theory and Generalizations Format : MP4 (.mp4) - HD Video Time : 00:59:54 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-04-17_Deroin.mp4 
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Information on the Event
Event Title : Group Actions and Rigidity: Around the Zimmer Program / Actions de Groupes et Rigidité : Autour du programme de ZimmerEvent Organizers : Brown, Aaron ; Fisher, David ; Mann, Kathryn ; Pecastaing, Vincent ; Spatzier, Ralf Dates : 15/04/2024 - 19/04/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/2968.html
Citation Data
DOI : 10.24350/CIRM.V.20158803Cite this video as: Deroin, Bertrand (2024). Space of actions of groups on the real line . CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20158803 URI : http://dx.doi.org/10.24350/CIRM.V.20158803 |
See Also
- [Multi angle] Automorphisms of rigid geometric structures à la Zimmer–Gromov / Author of the conference Melnick, Karin.
- [Multi angle] Margulis-Zimmer's super-rigidity / Author of the conference Lee, Homin.
- [Multi angle] Random processes on symmetric spaces and discrete subgroups / Author of the conference Fraczyk, Mikolaj.
- [Multi angle] Basics on measure rigidity / Author of the conference Brown, Aaron.
Bibliography
- NAVAS, Andrés. On the dynamics of (left) orderable groups. In : Annales de l'institut Fourier. 2010. p. 1685-1740. - https://doi.org/10.5802/aif.2570
- DEROIN, Bertrand. Almost-periodic action on the real line. L'Enseignement Mathématique, 2013, vol. 59, no 1, p. 183-194. - https://doi.org/10.4171/lem/59-1-7
- DEROIN, Bertrand, KLEPTSYN, Victor, NAVAS, Andrés, et al. Symmetric random walks on Homeo^+(R).2013. Ann. Probab. 41(3B) p.2066-2089 - http://dx.doi.org/10.1214/12-AOP784
- DEROIN, Bertrand et HURTADO, Sebastian. Non left-orderability of lattices in higher rank semi-simple Lie groups. arXiv preprint arXiv:2008.10687, 2020. - https://doi.org/10.48550/arXiv.2008.10687
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