Remarks on Serre's modularity conjecture

DOI10.1007/s00229-011-0503-4zbMath1252.11046arXivmath/0603439OpenAlexW2037451755WikidataQ123221217 ScholiaQ123221217MaRDI QIDQ451992

Luis V. Dieulefait

Publication date: 19 September 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603439

zbMATH Keywords

Galois representationmodularitySerre's conjecture

Mathematics Subject Classification ID

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

Related Items (7)

A simplified proof of Serre's conjecture ⋮ Mod-2 dihedral Galois representations of prime conductor ⋮ Finiteness of endomorphism algebras of CM modular Abelian varieties ⋮ Semistable abelian varieties with good reduction outside 15 ⋮ Langlands base change for \(\mathrm{GL}(2)\) ⋮ Automorphy of \(\mathrm{Symm}^5(\mathrm{GL}(2))\) and base change ⋮ On modular forms and the inverse Galois problem

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