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....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Behrens, Mark, 1975-
Otros Autores: Lawson, Tyler, 1977-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, [2010, 2009]
Colección:Memoirs of the American Mathematical Society ; no. 958.
Temas:
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
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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