Article contents
ON SOME CONSEQUENCES OF A THEOREM OF J. LUDWIG
Published online by Cambridge University Press: 27 September 2021
Abstract
We prove some qualitative results about the p-adic Jacquet–Langlands correspondence defined by Scholze, in the
$\operatorname {\mathrm {GL}}_2(\mathbb{Q}_p )$
residually reducible case, using a vanishing theorem proved by Judith Ludwig. In particular, we show that in the cases under consideration, the global p-adic Jacquet–Langlands correspondence can also deal with automorphic forms with principal series representations at p in a nontrivial way, unlike its classical counterpart.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 21 , Issue 3 , May 2022 , pp. 1067 - 1106
- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press
References
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