Deformation theory and local-global compatibility of langlands correspondences /

The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with representations pred...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Luu, Martin T., 1983- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 2015.
Collection:Memoirs of the American Mathematical Society ; no. 1123.
Sujets:
Local fields (Algebra)
Representations of groups.
Automorphic forms.
Galois theory.
Corps locaux (Algèbre)
Représentations de groupes.
Formes automorphes.
Théorie de Galois.
Automorphic forms
Galois theory
Representations of groups
Accès en ligne:Texto completo
Table des matières:
  • Preface
  • Introduction
  • Preliminaries
  • Local-global compatibility for Hilbert modular forms
  • Local-global compatibility results via crystalline periods
  • Local semi-simplifications: the case of general linear groups
  • Local semi-simplifications: the case of symplectic groups
  • Congruences
  • Local monodromy operators: the case of symplectic groups
  • Bibliography
  • Index.

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