A p-adic Jacquet-Langlands Correspondence
Knight, Erick Phillip
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CitationKnight, Erick Phillip. 2017. A p-adic Jacquet-Langlands Correspondence. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.
AbstractIn this paper, we construct a candidate p-adic Jacquet-Langlands correspondence.
This is a correspondence between unitary continuous admissible representations of GL2(Qp) valued in p-adic Banach spaces, and unitary continuous representations of D× valued in p-adic Banach spaces. Here, D is the quaternion algebra over Qp.
The characterizing properties that are shown are a local-global compatibility and a calculation of the locally algebraic vectors.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41141525
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