On the spectrum and the topology of congruence hyperbolic varieties: the complex and quaternionic cases

DOI10.1007/s00208-016-1492-0zbMath1385.53025arXiv1406.3765OpenAlexW2964250131MaRDI QIDQ2402845

Nicolas Bergeron, Laurent Clozel

Publication date: 15 September 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3765

zbMATH Keywords

unitary grouphyperbolic manifoldsspin groupRamanujan conjectureLefschetz property

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

AUTOMORPHIC LEFSCHETZ PROPERTIES FOR NONCOMPACT ARITHMETIC MANIFOLDS ⋮ Lefschetz properties for noncompact arithmetic ball quotients. II ⋮ Shrinking target problems for flows on homogeneous spaces

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