Algèbres de Hecke quasi-ordinaires universelles

DOI10.1016/j.ansens.2004.01.001zbMath1196.11074OpenAlexW2052605052MaRDI QIDQ4827561

David Mauger

Publication date: 18 November 2004

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2004_4_37_2_171_0

zbMATH Keywords

connected reductive group\(p\)-adic interpolation of set of spaces of topological automorphic formsconstruction of \(p\)-adic families of Hecke eigensystemsnearly-ordinarity assumption

Mathematics Subject Classification ID

Hecke-Petersson operators, differential operators (several variables) (11F60) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Cohomology of arithmetic groups (11F75)

Related Items

Estimées pour les valuations $p$-adiques des valeurs propres des opérateurs de Hecke, Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields, Modularity lifting theorems for ordinary Galois representations, P-adic L-functions in universal deformation families, Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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