p-adic Jacquet-Langlands correspondence and patching

Abstract

We describe two candidates for a local p-adic Jacquet-Langlands correspondence and using patching we show that they are in fact isomorphic. We then study locally algebraic vectors of the given correspondence.

References in corpus (2)

• Ordinary representations and companion points for U(3) in the indecomposable case
• On the p-adic cohomology of the Lubin-Tate tower