Geometric cycles, arithmetic groups and their cohomology

DOI10.1090/S0273-0979-10-01292-9zbMath1254.11053MaRDI QIDQ3553925

Joachim Schwermer

Publication date: 21 April 2010

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cohomologyautomorphic formsarithmetic groupsgeometric cycles

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Discrete subgroups of Lie groups (22E40) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)

Related Items (19)

Congruence RFRS towers ⋮ On the Schwartz space \(\mathcal{S}(G(k) \backslash G(\mathbb{A}))\) ⋮ Nonvanishing square-integrable automorphic cohomology classes: the case \(\operatorname{GL}(2)\) over a central division algebra ⋮ Cohomology of moduli space of cubic fourfolds. I ⋮ Count lifts of non-maximal closed horocycles on \(SL_N(\mathbb{Z}) \backslash SL_N(\mathbb{R})/SO_N({\mathbb{R}})\) ⋮ Upper bounds for geodesic periods over hyperbolic manifolds ⋮ Geometric cycles with local coefficients and the cohomology of arithmetic subgroups of the exceptional group \(G_{2}\) ⋮ On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds ⋮ On the growth of torsion in the cohomology of arithmetic groups ⋮ On fields of rationality for automorphic representations ⋮ Low degree cohomologies of congruence groups ⋮ Formal Fourier Jacobi expansions and special cycles of codimension two ⋮ Geometric cycles and characteristic classes of manifold bundles (with an appendix by M. Krannich) ⋮ Geometric construction of homology classes in Riemannian manifolds covered by products of hyperbolic planes ⋮ Eisenstein Cohomology and Automorphic L-Functions ⋮ On the cohomology of uniform arithmetically defined subgroups in SU*(2n) ⋮ Remarks on generating series for special cycles on orthogonal Shimura varieties ⋮ Lectures on Computing Cohomology of Arithmetic Groups ⋮ Geometric cycles in compact locally Hermitian symmetric spaces and automorphic representations

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