Topological automorphic forms /

"We apply a theorem of J. Lurie to produce cohomology theories associated to certain Shimura varieties of type U(1, n-1). These cohomology theories of topological automorphic forms (TAF) are related to Shimura varieties in the same way that TMF is related to the moduli space of elliptic curves....

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Behrens, Mark, 1975-
Autres auteurs: Lawson, Tyler, 1977-
Format: Électronique eBook
Langue:Inglés
Publié: Providence, R.I. : American Mathematical Society, [2010, 2009]
Collection:Memoirs of the American Mathematical Society ; no. 958.
Sujets:
Automorphic forms.
Algebraic topology.
Homotopy groups.
Shimura varieties.
Formes automorphes.
Topologie algébrique.
Groupes d'homotopie.
Variétés de Shimura.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Algebraic topology
Automorphic forms
Homotopy groups
Shimura varieties
Algebraische Topologie
Automorphe Form
Fundamentalgruppe
Accès en ligne:Texto completo
Table des matières:
  • Introduction
  • p-divisible groups
  • The Honda-Tate classification
  • Tate modules and level structures
  • Polarizations
  • Forms and involutions
  • Shimura varieties of type U (1, n-1)
  • Deformation theory
  • Topological automorphic forms
  • Relationship to automorphic forms
  • Smooth G-spectra
  • Operation on TAF
  • Buildings
  • Hypercohomology of adele groups
  • K(n)-local theory
  • Example: chromatic level 1.

Documents similaires