On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173) /

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This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois g...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Morel, Sophie (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2010]
Edición:Course Book
Colección:Annals of Mathematics Studies ; 173
Temas:
Homology theory.
Shimura varieties.
MATHEMATICS / Topology.
Accuracy and precision.
Adjoint.
Algebraic closure.
Archimedean property.
Automorphism.
Base change map.
Base change.
Calculation.
Clay Mathematics Institute.
Coefficient.
Compact element.
Compact space.
Comparison theorem.
Conjecture.
Connected space.
Connectedness.
Constant term.
Corollary.
Duality (mathematics).
Existential quantification.
Exterior algebra.
Finite field.
Finite set.
Fundamental lemma (Langlands program).
Galois group.
General linear group.
Haar measure.
Hecke algebra.
Homomorphism.
L-function.
Logarithm.
Mathematical induction.
Mathematician.
Maximal compact subgroup.
Maximal ideal.
Morphism.
Neighbourhood (mathematics).
Open set.
Parabolic induction.
Permutation.
Prime number.
Ramanujan-Petersson conjecture.
Reductive group.
Ring (mathematics).
Scientific notation.
Shimura variety.
Simply connected space.
Special case.
Sub"ient.
Subalgebra.
Subgroup.
Symplectic group.
Theorem.
Trace formula.
Unitary group.
Weyl group.
Acceso en línea:Texto completo
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Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • Chapter 1. The fixed point formula
  • Chapter 2. The groups
  • Chapter 3. Discrete series
  • Chapter 4. Orbital integrals at p
  • Chapter 5. The geometric side of the stable trace formula
  • Chapter 6. Stabilization of the fixed point formula
  • Chapter 7. Applications
  • Chapter 8. The twisted trace formula
  • Chapter 9. The twisted fundamental lemma
  • Appendix. Comparison of two versions of twisted transfer factors
  • Bibliography
  • Index

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