Complex Hyperbolic Lattices | Vidéo | Carmin.tv

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Complex Hyperbolic Lattices

By John R. Parker

Appears in collection : Complex Hyperbolic Geometry and Related Topics / Autour de la géométrie hyperbolique complexe

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.

Information about the video

Date of recording 7/4/22
Date of publication 7/27/22
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19937103
Cite this video Parker John R. (7/4/22). Complex Hyperbolic Lattices. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19937103
URL https://dx.doi.org/10.24350/CIRM.V.19937103

Domain(s)

Geometric Topology

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

MSC codes

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