p-adic Jacquet-Langlands correspondence and patching

2017/09/29 by Chojecki, Przemyslaw, Knight, Erick
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1709.10306

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.

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