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16574 results in Geometry and topology

Page 88 of 829

  • ON SOME CONSEQUENCES OF A THEOREM OF J. LUDWIG

  • Part of
  • Vytautas Paškūnas
  • Journal:
    Journal of the Institute of Mathematics of Jussieu / Volume 21 / Issue 3 / May 2022
    Published online by Cambridge University Press:
    27 September 2021, pp. 1067-1106
    Print publication:
    May 2022
    • Article
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  • 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.

Page 88 of 829