Spectrum and homology of congruence complex hyperbolic manifolds

DOI10.1016/S1631-073X(02)02398-1zbMath1011.32020MaRDI QIDQ1608725

Nicolas Bergeron, Laurent Clozel

Publication date: 14 October 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

spectrumhomologycongruence complex hyperbolic manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (1)

Riemann’s zeta function and beyond

Cites Work

• \(L^ 2\)-cohomology and index theorem for the Bergman metric
• Ramanujan duals. II
• Restriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety.
• A formula for the Betti numbers of compact locally symmetric Riemannian manifolds
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• Projective limits of locally symmetric spaces and cohomology.
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