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Mishra, Manish
- A Galois Side Analogue of a Theorem of Bernstein
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1 Mathematics Center, Ruprecht-Karls-Universitat Heidelberg D-69120, Heidelberg, DE
1 Mathematics Center, Ruprecht-Karls-Universitat Heidelberg D-69120, Heidelberg, DE
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Journal of the Ramanujan Mathematical Society, Vol 30, No 4 (2015), Pagination: 397-402Abstract
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.
- A Note on Depth Preservation
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1 Department of Mathematics, Indian Institute for Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune 411 008, IN
1 Department of Mathematics, Indian Institute for Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune 411 008, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 34, No 4 (2019), Pagination: 393-400Abstract
We show that for a wildly ramified torus, depth is not preserved in general under local Langlands correspondence for tori.References
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