ON SOME CONSEQUENCES OF A THEOREM OF J. LUDWIG
Keyword(s):
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.
2002 ◽
Vol 6
(4)
◽
pp. 101-126
◽
1994 ◽
Vol 126
(2)
◽
pp. 305-366
◽
2018 ◽
Vol 2019
(23)
◽
pp. 7160-7192
◽