Shotton, Jack (2022) 'Generic local deformation rings when l≠p.', Compositio Mathematica, 158 (4). pp. 721-749.
We determine the local deformation rings of sufficiently generic mod l representations of the Galois group of a p-adic field, when l≠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≠p Breuil–Mézard conjecture of the author, in the tame case.
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|Publisher Web site:||https://doi.org/10.1112/S0010437X22007461|
|Publisher statement:||This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original article is properly cited. Compositio Mathematica is © Foundation Compositio Mathematica.|
|Date accepted:||18 November 2021|
|Date deposited:||26 July 2022|
|Date of first online publication:||03 June 2022|
|Date first made open access:||26 July 2022|
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