Inner cohomology of \(\mathrm{GL}_n\)

DOI10.1016/j.jnt.2019.08.021zbMath1439.11127arXiv1802.06978OpenAlexW2973853608MaRDI QIDQ2288313

Krishna Kishore

Publication date: 17 January 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06978

zbMATH Keywords

Lie algebra cohomologylocally symmetric spacesresidual spectrumautomorphic representationcuspidal cohomologyLanglands spectral decomposition

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Arithmetic aspects of modular and Shimura varieties (11G18) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)

Cites Work

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• Interpolating coefficient systems and \(p\)-ordinary cohomology of arithmetic groups
• Regularization theorems in Lie algebra cohomology. Applications
• \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• On the Eisenstein cohomology of arithmetic groups
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Lectures on Algebraic Geometry I
• Le spectre résiduel de ${\rm GL}(n)$
• Laplacian and the Discrete Spectrum of an Arithmetic Group
• On Euler Products and the Classification of Automorphic Representations I

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