L'endoscopie Tordue N'est Pas Si Tordue (Memoirs of the American Mathematical Society 194, 908)

L'endoscopie Tordue N'est Pas Si Tordue (Memoirs of the American Mathematical Society 194, 908)

By: J-. L. Waldspurger (author)Paperback

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Description

The author considers the fundamental lemma for twisted endoscopy, for the units of Hecke algebras only. He proves that it is true if two other lemmas are true: the fundamental lemma for Lie algebras (and non-twisted endoscopy) and another lemma called ""non-standard fundamental lemma"". This lemma assert equality between stable orbital integrals on the Lie algebras of two groups as a symplectic group and an odd special orthogonal group of the same rank. A similar result is proved for transfer conjecture.

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Contents

Inroduction La conjecture de transfert Analyse harmonique Classes de conjugaison stable et correspondances endoscopiques Le cas non ramifie Cas non ramifie: les preuves Preliminaires cohomologiques Definition des facteurs de transfert Normalisation du facteur de transfert dans le cas non ramifie Rapport de facteurs de transfert Egalite de facteurs de transfert Reduction a un sous-groupe de Levi Reduction a une situation non ramifiee Reduction au cas quasi-simple Le cas $\theta=1$ Le cas: $G^*$ de type $A {n-1}$ Le cas: $G^*$ de $D {4}$ et $\theta$ d'ordre $3$ Le cas: $G^*$ de type $D {n}$ et $\theta$ d'ordre $2$ Le cas: $G\*$ de type $E {6}$ et $\theta$ d'ordre $2$ Appendice A: sections d'extensions Appendice B: l'exponentielle Bibliographie.

Product Details

  • publication date: 15/05/2008
  • ISBN13: 9780821844694
  • Format: Paperback
  • Number Of Pages: 261
  • ID: 9780821844694
  • weight: 414
  • ISBN10: 0821844695

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