Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds

The geometry of modular curves and the structure of their cohomology groups have been a rich source for various number-theoretical applications over the last decades. Similar applications may be expected from the arithmetic of higher dimensional modular varieties. For Siegel modular threefolds some...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Weissauer, Rainer (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Lecture Notes in Mathematics, 1968
Temas:
Functions of complex variables.
Geometry.
Number theory.
Manifolds (Mathematics).
Functions of a Complex Variable.
Number Theory.
Several Complex Variables and Analytic Spaces.
Manifolds and Cell Complexes.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • An Application of the Hard Lefschetz Theorem
  • CAP-Localization
  • The Ramanujan Conjecture for Genus two Siegel modular Forms
  • Character identities and Galois representations related to the group GSp(4)
  • Local and Global Endoscopy for GSp(4)
  • A special Case of the Fundamental Lemma I
  • A special Case of the Fundamental Lemma II
  • The Langlands-Shelstad transfer factor
  • Fundamental lemma (twisted case)
  • Reduction to unit elements
  • Appendix on Galois cohomology
  • Appendix on Double Cosets.

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