A Galois side analogue of a theorem of Bernstein

作者：Mishra Manish^*

来源：Journal of the Ramanujan Mathematical Society, 2015, 30(4): 397-402.

Let G be a connected reductive group defined over a non archimedean local field k. A theorem of Bernstein states that for any compact subgroup K of G(k), there are, upto unramified twists, only finitely many K-spherical supercuspidal representations of G(k). We prove an analogous result on the Galois side of the Langlands correspondence.

• 出版日期2015-12