On some consequences of a theorem of J. Ludwig

We prove some qualitative results about the p-adic Jacquet–Langlands correspondence defined by Scholze, in the GL2(Qp) 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.

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Date Issued:
27.09.2021
URN:
urn:nbn:de:hbz:465-20241030-105555-2
DOI:
10.1017/S1474748020000547
Language:
English
Type of Resource:
Text
Keywords:
  1. p-adic automorphic forms
    Typ
    Schlagwort
  2. p-adic Jacquet-Langlands correspondence
    Typ
    Schlagwort
Subject categories of the Deutsche Nationalbibliografie:
510 Mathematics
Hosting institution:
Faculty of Mathematics
Info on primary publication:

Paškūnas V. ON SOME CONSEQUENCES OF A THEOREM OF J. LUDWIG. Journal of the Institute of Mathematics of Jussieu. 2022;21(3):1067-1106. DOI: 10.1017/S1474748020000547

Published online by Cambridge University Press: 27 September 2021

version identification:
Version of Record / Verlagsversion

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© The Author(s), 2021

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