Potentially diagonalizable modular lifts of large weight

DOI10.1016/j.jnt.2021.03.023zbMath1481.11059arXiv2008.04192OpenAlexW3157929352WikidataQ114157038 ScholiaQ114157038MaRDI QIDQ2043480

Iván Blanco-Chacón, Luis V. Dieulefait

Publication date: 2 August 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04192

zbMATH Keywords

Langlands functorialitypotential modularitypotential automorphypotential diagonalizable representations

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Cites Work

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• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• On automorphic points in polarized deformation rings
• A geometric perspective on the Breuil–Mézard conjecture
• Potentially semi-stable deformation rings

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