Geodesic
Le lemma fondamental pour les groupes unitaires
Gérard Laumon1 ; Bao-Châu Ngô2
1 CNRS et Département de Mathématiques<br/>Université Paris-Sud<br/>91405 Orsay<br/>France
2 Département de Mathématiques<br/>Université Paris-Sud<br/>91405 Orsay<br/>France
Annals of mathematics, Tome 168 (2008) no. 2, pp. 477-573.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $\scriptstyle G$ be an unramified reductive group over a nonarchimedian local field $F$. The so-called Langlands Fundamental Lemma is a family of conjectural identities between orbital integrals for $G(F)$ and orbital integrals for endoscopic groups of $G$. In this paper we prove the Langlands fundamental lemma in the particular case where $F$ is a finite extension of ${\Bbb F}_{p}((t))$, $G$ is a unitary group and $ p>\,\hbox{rank}(G)$. Waldspurger has shown that this particular case implies the Langlands fundamental lemma for unitary groups of rank $\lt p$ when $\scriptstyle F$ is any finite extension of ${\Bbb Q}_{p}$.
DOI : 10.4007/annals.2008.168.477

Gérard Laumon 1 ; Bao-Châu Ngô 2

1 CNRS et Département de Mathématiques<br/>Université Paris-Sud<br/>91405 Orsay<br/>France
2 Département de Mathématiques<br/>Université Paris-Sud<br/>91405 Orsay<br/>France 
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Gérard Laumon; Bao-Châu Ngô. Le lemma fondamental pour les groupes unitaires. Annals of mathematics, Tome 168 (2008) no. 2, pp. 477-573. doi : 10.4007/annals.2008.168.477. http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.168.477/

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