Residues of Eisenstein series and the automorphic cohomology of reductive groups
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Publication:2841765
DOI10.1112/S0010437X12000863zbMath1312.11044MaRDI QIDQ2841765
Publication date: 30 July 2013
Published in: Compositio Mathematica (Search for Journal in Brave)
Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Cohomology of arithmetic groups (11F75)
Related Items (6)
Rationality for isobaric automorphic representations: the CM-case ⋮ WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT -FUNCTIONS ⋮ Eisenstein Cohomology and Automorphic L-Functions ⋮ On some arithmetic properties of automorphic forms ofGLmover a division algebra ⋮ Characteristic classes of bundles of \(K3\) manifolds and the Nielsen realization problem ⋮ A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low \(k\)-rank
Cites Work
- \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
- Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
- Relative Lie algebra cohomology and unitary representations of complex Lie groups
- On the canonical \(k\)-types in the irreducible unitary \(\mathfrak g\)-modules with non-zero relative cohomology
- A decomposition of spaces of automorphic forms, and the Eisenstein cohomology of arithmetic groups
- Eisenstein series and cohomology of arithmetic groups: The generic case
- On the cohomology of Kottwitz's arithmetic varieties
- On the Eisenstein cohomology of arithmetic groups
- Le spectre résiduel de ${\rm GL}(n)$
- Stable real cohomology of arithmetic groups
- Harmonic analysis in weighted L2-spaces
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