Lifting and automorphy of reducible mod \(p\) Galois representations over global fields

DOI10.1007/s00222-021-01085-7zbMath1492.11102arXiv2008.12593OpenAlexW3211425978MaRDI QIDQ2118066

Stefan Patrikis, Chandrashekhar B. Khare, Najmuddin Fakhruddin

Publication date: 22 March 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.12593

zbMATH Keywords

Galois representationLanglands correspondenceautomorphy liftingSerre's modularity conjecture

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (2)

Trianguline lifts of global mod \(p\) Galois representations ⋮ Remarks on the inverse Galois problem over function fields

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