| Résume | 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 counter-part. The paper is available at http://arxiv.org/abs/1804.07567 |
