Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.695797
Title: On flagged framed deformation problems of local crystalline Galois representations
Author: Kalloniatis, Tristan
ISNI:       0000 0004 5991 1693
Awarding Body: King's College London
Current Institution: King's College London (University of London)
Date of Award: 2016
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Abstract:
In this thesis, we prove that irreducible residual Fontaine-La aille representations of the absolute Galois group of an unrami ed extension of Qp have smooth representable crystalline framed deformation problems, provided that the Hodge-Tate weights lie in the Fontaine-La aille range. We then extend this result to the agged lifting problem associated to any Fontaine-La aille upper triangular representation whose ag is of maximal length. We calculate the relative dimension of these various crystalline lifting functors in terms of the underlying Hodge-Tate weight structures, and also apply these results to give an alternative proof of the fact that every such residual representation admits a so-called \universally twistable lift". Finally we give some brief indications as to the various directions in which these results might be generalised.
Supervisor: Burns, David John ; Diamond, Fred Irvin Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.695797  DOI: Not available
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