The Breuil-Mezard conjecture for non-scalar split residual representations

Abstract : We prove the Breuil-Mezard conjecture for split non-scalar residual representations of Gal(Qp/Qp) by local methods. Combined with the cases previously proved in [18] and [24], this completes the proof of the conjecture (when p>3). As a consequence, the local restriction in the proof of the Fontaine-Mazur conjecture in [18] is removed.
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Submitted on : Tuesday, November 19, 2013 - 11:35:48 AM
Last modification on : Friday, November 16, 2018 - 1:22:30 AM

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  • HAL Id : hal-00906113, version 1
  • ARXIV : 1309.1658

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Yongquan Hu, Fucheng Tan. The Breuil-Mezard conjecture for non-scalar split residual representations. Annales Scientifiques de l'École Normale Supérieure, Elsevier Masson, 2015, 48 (6), pp.1383-1421. ⟨hal-00906113⟩

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