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- W2068986142 abstract "Inside the universal deformation space of a local Galois representation one has the set of deformations which are potentially semi-stable of given p-adic Hodge and Galois type. It turns out these points cut out a closed subspace of the deformation space. A deep conjecture due to Breuil-Mezard predicts that part of the structure of this space can be described in terms of the local Langlands correspondence. For 2-dimensional representations the conjecture can be made precise. We explain some of the progress in this case, which reveals that the conjecture is intimately connected to the p-adic local Langlands correspondence, as well as to the Fontaine-Mazur conjecture." @default.
- W2068986142 created "2016-06-24" @default.
- W2068986142 creator A5044335192 @default.
- W2068986142 date "2011-06-01" @default.
- W2068986142 modified "2023-10-16" @default.
- W2068986142 title "The Structure of Potentially Semi-stable Deformation Rings" @default.
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- W2068986142 doi "https://doi.org/10.1142/9789814324359_0052" @default.
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