Le lemme fondamental pour les groupes unitaires
Let G be an unramified reductive group over a non archimedian 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 fundament...
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Zusammenfassung: | Let G be an unramified reductive group over a non archimedian 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 F_p((t)), G is a
unitary group and p>rank(G). Waldspurger has shown that this particular case
implies the Langlands fundamental lemma for unitary groups of rank |
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DOI: | 10.48550/arxiv.math/0404454 |