Regular and residual Eisenstein series and the automorphic cohomology of Sp(2,2)

DOI10.1112/S0010437X09004266zbMath1230.11068OpenAlexW2097455528MaRDI QIDQ3558861

Harald Grobner

Publication date: 10 May 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x09004266

zbMATH Keywords

Eisenstein seriesresidual spectrumcuspidal automorphic representationcohomology of arithmetic groupsEisenstein cohomology

Mathematics Subject Classification ID

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 (2)

THE AUTOMORPHIC COHOMOLOGY AND THE RESIDUAL SPECTRUM OF HERMITIAN GROUPS OF RANK ONE ⋮ On the Eisenstein cohomology of odd orthogonal groups

Cites Work

• \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
• The residual spectrum of inner forms of \(\text{Sp}(2)\)
• On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
• A decomposition of spaces of automorphic forms, and the Eisenstein cohomology of arithmetic groups
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Cohomology of arithmetic subgroups of algebraic groups. I
• Representations with cohomology in the discrete spectrum of subgroups of ${\rm SO}(n,1)({Z})$ and Lefschetz numbers
• Le spectre résiduel de ${\rm GL}(n)$
• On Certain L-Functions
• Stable real cohomology of arithmetic groups
• Harmonic analysis in weighted L2-spaces
• Complementary Series for Hermitian Quaternionic Groups

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