Le lemma fondamental pour les groupes unitaires
Annals of mathematics, Tome 168 (2008) no. 2, pp. 477-573
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 ${\Bbb Q}_{p}$.
@article{10_4007_annals_2008_168_477,
author = {G\'erard Laumon and Bao-Ch\^au Ng\^o},
title = {Le lemma fondamental pour les groupes unitaires},
journal = {Annals of mathematics},
pages = {477--573},
year = {2008},
volume = {168},
number = {2},
doi = {10.4007/annals.2008.168.477},
mrnumber = {2434884},
zbl = {1179.22019},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.168.477/}
}
TY - JOUR AU - Gérard Laumon AU - Bao-Châu Ngô TI - Le lemma fondamental pour les groupes unitaires JO - Annals of mathematics PY - 2008 SP - 477 EP - 573 VL - 168 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.168.477/ DO - 10.4007/annals.2008.168.477 LA - en ID - 10_4007_annals_2008_168_477 ER -
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
Cité par Sources :