Journal of the Ramanujan Mathematical Society
Volume 30, Issue 4, December 2015 pp. 397–402.
A Galois side analogue of a theorem of Bernstein
Authors:
Manish Mishra
Author institution:Mathematics Center, Ruprecht-Karls-Universität Heidelberg D-69120, Heidelberg, Germany
Summary:
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.
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