Français
Slimness in the 3-sphere
Multi angle
Authors : Guilloux, Antonin (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Loading the player...
|
Abstract :
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
MSC Codes : 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
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 27/07/2022 Conference Date : 05/07/2022 Subseries : Research talks arXiv category : Geometric Topology Mathematical Area(s) : Geometry Format : MP4 (.mp4) - HD Video Time : 01:04:36 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-07-05_Guilloux.mp4 
|
Information on the Event
Event Title : Complex Hyperbolic Geometry and Related Topics / Autour de la géométrie hyperbolique complexeEvent Organizers : Bucher, Michelle ; Deraux, Martin ; Paupert, Julien ; Rouillier, Fabrice ; Will, Pierre Dates : 04/07/2022 - 08/07/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2622.html
Citation Data
DOI : 10.24350/CIRM.V.19936803Cite this video as: 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 |
See Also
- [Multi angle] Complex Hyperbolic Lattices / Author of the conference Parker, John R..
- [Multi angle] Complex hyperbolic structures on moduli spaces of curves and Fibonacci TQFT / Author of the conference Marché, Julien.
- [Multi angle] Virtual torsion in the homology of 3-manifolds. / Author of the conference Chu, Michelle.
- [Multi angle] A monstrous(?) complex hyperbolic orbifold / Author of the conference Basak, Tathagata.
Bibliography
- 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
Imagette Video
