Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.656694
Title: p-adic Langlands functoriality
Author: Ludwig, Judith
Awarding Body: Imperial College London
Current Institution: Imperial College London
Date of Award: 2014
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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.
Supervisor: Buzzard, Kevin Sponsor: Engineering and Physical Sciences Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.656694  DOI: Not available
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