On the Breuil-Schneider conjecture: Generic case

Abstract

We use the Taylor-Wiles-Kisin patching method to prove some new cases of the Breuil-Schneider conjecture.

arXiv comment44 pages. Minor changes made. arXiv admin note: text overlap with arXiv:1310.0831 by other authors

References in corpus (9)

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• Deformations of polarized automorphic Galois representations and adjoint Selmer groups
• U(g)-finite locally analytic representations
• Banach-Hecke algebras and p-adic Galois Representations
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Cited by in corpus (3)

• On the automorphy of 2-dimensional potentially semi-stable deformation rings of $G_{{\mathbb{Q}}_p}$
• Breuil-Mézard conjectures for central division algebras
• On the Breuil-Schneider conjecture II: Potentially crystalline non-generic case