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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.

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  • 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

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