English
Irreducible lattices in semi-simple Lie groups of higher rank are not left-orderable
Multi angle
Auteurs : Hurtado Salazar, Sebastian (Auteur de la Conférence)
CIRM (Editeur )
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 (Editeur )
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Résumé :
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.
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 14/11/2022 Date de captation : 13/10/2022 Sous collection : Research talks arXiv category : Group Theory ; Dynamical Systems Domaine : Dynamical Systems & ODE ; Lie Theory and Generalizations Format : MP4 (.mp4) - HD Durée : 01:12:04 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-10-13_Salazar.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Big Mapping Class Groups and Diffeomorphism Groups / Gros groupes modulaires et groupes de difféomorphismesOrganisateurs de la rencontre : Mann, Kathryn ; Navas, Andrés ; Rivas, Cristóbal ; Triestino, Michele ; Valdez, Ferrán Dates : 10/10/2022 - 14/10/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2612.html
Données de citation
DOI : 10.24350/CIRM.V.19968303Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] Mapping class groups of infinite-type surfaces and their actions on hyperbolic graphs / Auteur de la Conférence Patel, Priyam.
- [Multi angle] On actions on the real line of some finitely generated groups / Auteur de la Conférence Matte Bon, Nicolás.
- [Multi angle] Fine curve graphs and surface homeomorphisms / Auteur de la Conférence Hensel, Sebastian.
- [Multi angle] Connectedness and deformation by conjugation of actions on [0,1] (or $^1) / Auteur de la Conférence Eynard-Bontemps, Hélène.
Bibliographie
- 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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