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Fuchsian groups --- Kleinian groups --- Teichmüller spaces

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Differential geometry. Global analysis --- 51 --- Kleinian groups --- Groups, Kleinian --- Discontinuous groups --- Mathematics --- 51 Mathematics

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Eisenstein series --- Kleinian groups --- Scattering operator --- Selberg trace formula --- Spectral theory (Mathematics)

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The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jørgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.

Geometry, Hyperbolic -- Congresses. --- Kleinian groups -- Congresses. --- Kleinian groups. --- Three-manifolds (Topology) -- Congresses. --- Kleinian groups --- Three-manifolds (Topology) --- Geometry, Hyperbolic --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Hyperbolic geometry --- Lobachevski geometry --- Lobatschevski geometry --- Geometry, Non-Euclidean --- 3-manifolds (Topology) --- Manifolds, Three dimensional (Topology) --- Three-dimensional manifolds (Topology) --- Low-dimensional topology --- Topological manifolds --- Groups, Kleinian --- Discontinuous groups

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Complex analysis --- Algebraic topology --- Kleinian groups. --- Low-dimensional topology. --- Geometry, Hyperbolic. --- Klein, Groupes de --- Topologie de basse dimension --- Géométrie hyperbolique --- Geometry, Hyperbolic --- Kleinian groups --- Low-dimensional topology --- Topology, Low-dimensional --- Manifolds (Mathematics) --- Groups, Kleinian --- Discontinuous groups --- Hyperbolic geometry --- Lobachevski geometry --- Lobatschevski geometry --- Geometry, Non-Euclidean --- Klein, Groupes de. --- Topologie de basse dimension. --- Géométrie hyperbolique.