Geodesic
Some endoscopic properties of the essentially tame Jacquet-Langlands correspondence
Documenta mathematica, Tome 21 (2016), pp. 345-389.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $F$ be a non-Archimedean local field of characteristic 0 and $G$ be an inner form of the general linear group $G^*=GL$_n over $F$. We show that the rectifying character appearing in the essentially tame Jacquet-Langlands correspondence of Bushnell and Henniart for $G$ and $G^*$ can be factorized into a product of some special characters, called zeta-data in this paper, in the theory of endoscopy of Langlands and Shelstad. As a consequence, the essentially tame local Langlands correspondence for $G$ can be described using admissible embeddings of L-tori.
Classification : 22E50, 11S37, 11F70
Keywords: essentially tame Jacquet-Langlands correspondence, inner forms, admissible pairs, zeta-data, endoscopy, admissible embeddings 
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     author = {Tam, Kam-Fai},
     title = {Some endoscopic properties of the essentially tame {Jacquet-Langlands} correspondence},
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     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a32/}
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Tam, Kam-Fai. Some endoscopic properties of the essentially tame Jacquet-Langlands correspondence. Documenta mathematica, Tome 21 (2016), pp. 345-389. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a32/