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Local deformation rings for GL2 and a Breuil–Mézard conjecture when l≠p.

Shotton, Jack (2016) 'Local deformation rings for GL2 and a Breuil–Mézard conjecture when l≠p.', Algebra and number theory., 10 (7). pp. 1437-1475.


We compute the deformation rings of two dimensional mod l rep- resentations of Gal(F/F) with fixed inertial type, for l an odd prime, p a prime distinct from l, and F/Qp a finite extension. We show that in this set- ting an analogue of the Breuil–M´ezard conjecture holds, relating the special fibres of these deformation rings to the mod l reduction of certain irreducible representations of GL2(OF ).

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Publisher statement:First published in Algebra & Number Theory in Vol. 10 (2016), No. 7, 1437–1475, published by Mathematical Sciences Publishers. © 2016 Mathematical Sciences Publishers. All rights reserved.
Date accepted:18 July 2016
Date deposited:22 November 2018
Date of first online publication:27 September 2016
Date first made open access:27 November 2018

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