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Complex Hyperbolic Lattices
Multi angle
Authors : Parker, John R. (Author of the conference)
CIRM (Publisher )
20F05 - Generators, relations, and presentations of groups
20F36 - Braid groups; Artin groups
22E40 - Discrete subgroups of Lie groups
32M25 - Complex vector fields
CIRM (Publisher )
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Abstract :
Lattices in SU(2,1) can be viewed in several different ways: via their geometry as holomorphic complex hyperbolic isometries, as monodromy groups of hypergeometric functions, via algebraic geometry as ball quotients and (sometimes) using arithmeticity. In this talk I will describe these different points of view using examples constructed by Deligne and Mostow and by Deraux, Paupert and myself.
Keywords : complex hyperbolic geometry; lattice; arithmeticity monodromy group
MSC Codes : Keywords : complex hyperbolic geometry; lattice; arithmeticity monodromy group
20F05 - Generators, relations, and presentations of groups
20F36 - Braid groups; Artin groups
22E40 - Discrete subgroups of Lie groups
32M25 - Complex vector fields
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 27/07/2022 Conference Date : 04/07/2022 Subseries : Research talks arXiv category : Geometric Topology Mathematical Area(s) : Geometry Format : MP4 (.mp4) - HD Video Time : 01:04:21 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-07-04_Parker.mp4 
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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.19937103Cite this video as: Parker, John R. (2022). Complex Hyperbolic Lattices. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19937103 URI : http://dx.doi.org/10.24350/CIRM.V.19937103 |
See Also
- [Multi angle] Complex hyperbolic structures on moduli spaces of curves and Fibonacci TQFT / Author of the conference Marché, Julien.
- [Multi angle] Slimness in the 3-sphere / Author of the conference Guilloux, Antonin.
- [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
- DERAUX, Martin, PARKER, John R., et PAUPERT, Julien. New Nonarithmetic Complex Hyperbolic Lattices II. Michigan Mathematical Journal, 2021, vol. 70, no 1, p. 133-205. - http://dx.doi.org/10.1307/mmj/1592532044
Imagette Video
