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Irreducible lattices in semi-simple Lie groups of higher rank are not left-orderable
Multi angle
Authors : Hurtado Salazar, Sebastian (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 :
Irreducible lattices in semi-simple Lie groups of higher rank are not left-orderable I'll report on the problem of the left orderability of lattices in semi-simple Lie groups, and give some insight of our joint proof with Bertrand Deroin that in rank at least two, an irreducible lattice is not left-orderable. The proof will make use of the tools developed in the minicourse of Bertrand.
MSC Codes : 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 : Hennenfent, GuillaumeLanguage : English Available date : 14/11/2022 Conference Date : 13/10/2022 Subseries : Research talks arXiv category : Group Theory ; Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE ; Lie Theory and Generalizations Format : MP4 (.mp4) - HD Video Time : 01:12:04 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-10-13_Salazar.mp4 
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Information on the Event
Event Title : Big Mapping Class Groups and Diffeomorphism Groups / Gros groupes modulaires et groupes de difféomorphismesEvent Organizers : Mann, Kathryn ; Navas, Andrès ; Rivas, Cristóbal ; Triestino, Michele ; Valdez, Ferrán Dates : 10/10/2022 - 14/10/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2612.html
Citation Data
DOI : 10.24350/CIRM.V.19968303Cite this video as: Hurtado Salazar, Sebastian (2022). Irreducible lattices in semi-simple Lie groups of higher rank are not left-orderable. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19968303 URI : http://dx.doi.org/10.24350/CIRM.V.19968303 |
See Also
- [Multi angle] Mapping class groups of infinite-type surfaces and their actions on hyperbolic graphs / Author of the conference Patel, Priyam.
- [Multi angle] On actions on the real line of some finitely generated groups / Author of the conference Matte Bon, Nicolás.
- [Multi angle] Fine curve graphs and surface homeomorphisms / Author of the conference Hensel, Sebastian.
- [Multi angle] Connectedness and deformation by conjugation of actions on [0,1] (or $^1) / Author of the conference Eynard-Bontemps, Hélène.
Bibliography
- 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
Imagette Video
