English
Slimness in the 3-sphere
Multi angle
Auteurs : Guilloux, Antonin (Auteur de la Conférence)
CIRM (Editeur )
20H10 - Fuchsian groups and their generalizations, See also {11F06, 22E40, 30F35, 32Nxx}
22E40 - Discrete subgroups of Lie groups
32V15 - CR manifolds as boundaries of domains
CIRM (Editeur )
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Résumé :
Viewed as the boundary at infinity of the complex hyperbolic plane, the 3-sphere is equipped with a contact structure. The interplay between this contact structure and limit sets of subgroups of PU(2,1) has deep consequences on the properties of these subgroups. Some limit sets enjoy the property of slimness, that we introduce. Using this property, one can shed new lights on known results, and better describe deformations of subgroups. I will present this notion through simple examples and pictures, and then describe some results we obtain. This is a joint work with E. Falbel and P. Will.
Keywords : hyperconvexity; geometric structures
Codes MSC : Keywords : hyperconvexity; geometric structures
20H10 - Fuchsian groups and their generalizations, See also {11F06, 22E40, 30F35, 32Nxx}
22E40 - Discrete subgroups of Lie groups
32V15 - CR manifolds as boundaries of domains
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 27/07/2022 Date de captation : 05/07/2022 Sous collection : Research talks arXiv category : Geometric Topology Domaine : Geometry Format : MP4 (.mp4) - HD Durée : 01:04:36 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-07-05_Guilloux.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Complex Hyperbolic Geometry and Related Topics / Autour de la géométrie hyperbolique complexeOrganisateurs de la rencontre : Bucher, Michelle ; Deraux, Martin ; Paupert, Julien ; Rouillier, Fabrice ; Will, Pierre Dates : 04/07/2022 - 08/07/2022 Année de la rencontre : 2022 URL Congrès : https://conferences.cirm-math.fr/2622.html
Données de citation
DOI : 10.24350/CIRM.V.19936803Citer cette vidéo: Guilloux, Antonin (2022). Slimness in the 3-sphere. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19936803 URI : http://dx.doi.org/10.24350/CIRM.V.19936803 |
Voir aussi
- [Multi angle] Complex Hyperbolic Lattices / Auteur de la Conférence Parker, John R..
- [Multi angle] Complex hyperbolic structures on moduli spaces of curves and Fibonacci TQFT / Auteur de la Conférence Marché, Julien.
- [Multi angle] Virtual torsion in the homology of 3-manifolds. / Auteur de la Conférence Chu, Michelle.
- [Multi angle] A monstrous(?) complex hyperbolic orbifold / Auteur de la Conférence Basak, Tathagata.
Bibliographie
- FALBEL, Elisha, GUILLOUX, Antonin, et WILL, Pierre. Slim curves, limit sets and spherical CR uniformisations. arXiv preprint arXiv:2205.08797, 2022. - https://doi.org/10.48550/arXiv.2205.08797
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