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p-adic Langlands functoriality

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Ludwig-J-2014-PhD-Thesis.pdfThesis795.7 kBAdobe PDFView/Open
Title: p-adic Langlands functoriality
Authors: Ludwig, Judith
Item Type: Thesis or dissertation
Abstract: In this thesis we prove p-adic Langlands functoriality in two settings. Firstly we prove a p-adic Labesse-Langlands transfer from the group of units in a defnite quaternion algebra to its subgroup of norm one elements. Secondly we show p-adic functoriality for inner forms of unitary groups in three variables. In both cases we show that given an eigenvariety for the first group, there exists an eigenvariety for the second group and a morphism between them that extends the classical Langlands transfer and has an interpretation as a p-adic Langlands transfer.
Content Version: Open Access
Issue Date: Aug-2014
Date Awarded: Oct-2014
URI: http://hdl.handle.net/10044/1/25095
DOI: https://doi.org/10.25560/25095
Supervisor: Buzzard, Kevin
Sponsor/Funder: Engineering and Physical Sciences Research Council
Department: Mathematics
Publisher: Imperial College London
Qualification Level: Doctoral
Qualification Name: Doctor of Philosophy (PhD)
Appears in Collections:Mathematics PhD theses



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