On some consequences of a theorem of J. Ludwig

Vytautas Paskunas

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arXiv · 1804.07567

On some consequences of a theorem of J. Ludwig

Vytautas Paskunas

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Abstract

We prove some qualitative results about the $p$-adic Jacquet--Langlands correspondence defined by Scholze, in the $GL(2,Q_p)$, residually reducible case, by using a vanishing theorem proved by Judith Ludwig. In particular, we show that in the cases under consideration the $p$-adic Jacquet--Langlands correspondence can also deal with principal series representations in a non-trivial way, unlike its classical counterpart.

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Vytautas Paskunas. 2018-04-20. On some consequences of a theorem of J. Ludwig. https://arxiv.org/abs/1804.07567

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