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Le lemme fondamental pondéré pour le groupe métaplectique

Published online by Cambridge University Press:  20 November 2018

Wen-Wei Li*
Affiliation:
Morningside Center ofMathematics, Chinese Academy of Sciences, No. 55, Zhongguancun East Road, 100190 Beijing, China
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Abstract

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Dans cet article, on énonce une variante du lemme fondamental pondéré d’Arthur pour le groupe métaplectique de Weil, qui sera un ingrédient indispensable de la stabilisation de la formule des traces. Pour un corps de caractéristique résiduelle suffisamment grande, on en donne une démonstration à l’aide de la méthode de descente, qui est conditionnelle : on admet le lemme fondamental pondéré non standard sur les algèbres de Lie. Vu les travaux de Chaudouard et Laumon, on s’attend à ce que cette condition soit ultérieurement vérifiée.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2012

References

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