Admissible Embeddings of L-Tori and the Essentially Tame Local Langlands Correspondence

作者：Tam Kam Fai^*

来源：International Mathematics Research Notices, 2016, 2016(6): 1695-1775.

DOI：10.1093/imrn/rnv183

Let F be a non-Archimedean local field of characteristic 0 and G be the general linear group GL(n) over F. Bushnell and Henniart described the essentially tame local Langlands correspondence for G(F) using admissible characters, with their rectifiers, of tamely ramified elliptic maximal tori of G(F). The main result of this article is to relate these rectifiers to.-data in the theory of endoscopy of Kottwitz, Langlands, and Shelstad. Therefore, we can describe the essentially tame local Langlands correspondence using admissible embeddings of L-tori.

• 出版日期2016