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  • Generic local deformation r...
    Shotton, Jack

    Compositio mathematica, 04/2022, Letnik: 158, Številka: 4
    Journal Article

    We determine the local deformation rings of sufficiently generic mod $l$ representations of the Galois group of a $p$ -adic field, when $l \neq p$ , relating them to the space of $q$ -power-stable semisimple conjugacy classes in the dual group. As a consequence, we give a local proof of the $l \neq p$ Breuil–Mézard conjecture of the author, in the tame case.