On Cuspidal Cohomology of Arithmetic Groups and Cyclic Base Change

DOI10.1002/mana.19921580107zbMath0780.11030OpenAlexW2076255043MaRDI QIDQ4024454

Birgit Speh, Jürgen Rohlfs

Publication date: 20 April 1993

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

Full work available at URL: https://doi.org/10.1002/mana.19921580107

zbMATH Keywords

trace formulabase changelocally symmetric spacecuspidal cohomology

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Cohomology of arithmetic groups (11F75)

Related Items (4)

Lower bounds on the dimension of the cohomology of Bianchi groups via Sczech cocyles ⋮ Twisted Lefschetz number formula and 𝑝-adic trace formula ⋮ Unnamed Item ⋮ Lefschetz numbers and twisted stabilized orbital integrals

Cites Work

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• On the cuspidal cohomology of the Bianchi modular groups
• The fundamental lemma for stable base change
• Stable trace formula: Cuspidal tempered terms
• Stable trace formula: Elliptic singular terms
• On liftings and cusp cohomology of arithmetic groups
• On limit multiplicities of discrete series representations in spaces of automorphic forms
• On the cuspidal cohomology of arithmetic subgroups of SL(2n) and the first Betti number of arithmetic 3-manifolds
• Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
• Sign Changes in Harmonic Analysis on Reductive Groups
• The Invariant Trace Formula. II. Global Theory
• Non-vanishing theorems for the cohomology of certain arithmetic quotients.
• The Invariant Trace Formula. I. Local Theory

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