Eigenvarieties for reductive groups

DOI10.4007/annals.2011.174.3.7zbMath1285.11081OpenAlexW2141121214MaRDI QIDQ661923

Eric Urban

Publication date: 11 February 2012

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2011.174.3.7

zbMATH Keywords

cohomology of arithmetic groupseigenvarietiesp-adic automorphic representations

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Cohomology of arithmetic groups (11F75)

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Cites Work

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• The \(L^ 2\)-Lefschetz numbers of Hecke operators
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Eisenstein series on Shimura varieties
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• Galois representations associated to Siegel modular forms of low weight
• Shimura and Shintani correspondences
• Eisenstein cohomology and the construction of mixed motives
• \(p\)-adic Banach spaces and families of modular forms
• Automorphic induction and Leopoldt type conjectures for \(\text{GL}(n)\)
• Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen
• On the \(p\)-adic deformations of Saito-Kurokawa lifts
• On the Eisenstein cohomology of arithmetic groups
• \(p\)-adic Hecke algebras for \(GL(2)\)
• \(p\)-adic deformations of cohomology classes of subgroups of \(\text{GL}(N,\mathbb{Z})\)
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms
• A gluing lemma and overconvergent modular forms
• A constructive approach to p-adic deformations of arithmetic homology
• SUR LES DÉFORMATIONS p-ADIQUES DE CERTAINES REPRÉSENTATIONS AUTOMORPHES
• On some p-adic properties of the eichler-selberg trace formula
• On p-adic properties of the Eichler-Selberg trace formula II
• Harmonic analysis in weighted L2-spaces
• $\mathcal P$-adic modular forms over Shimura curves over totally real fields
• The Saito-Kurokawa lifting and functoriality
• Several-variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations
• Familles p-adiques de formes automorphes pour GLn
• Control theorems of $p$-nearly ordinary cohomology groups for $\text {SL} (n)$
• Correspondances de Shimura et quaternions
• Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$
• Nearly ordinary Galois deformations over arbitrary number fields
• Rigidity of p -adic cohomology classes of congruence subgroups of GL(n , ℤ)
• Overconvergent Hilbert modular forms