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On the modularity of certain 2-adic Galois representations

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Publication:1847861
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DOI10.1215/S0012-7094-01-10923-XzbMath1015.11020MaRDI QIDQ1847861

Mark Dickinson

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Galois representationmodular formsSelmer groupsuniversal deformationmodular curvecomplete intersection ringmodular deformation ring


Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11R39) Galois cohomology (11R34)


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Modularity of nearly ordinary 2-adic residually dihedral Galois representations, On a conjecture of Watkins, Modularity lifting theorems, Reciprocity in the Langlands program since Fermat's last theorem, Proof of de Smit’s conjecture: a freeness criterion, Independence of \(\ell\)-adic representations of geometric Galois groups, Modularity of Galois representations., A 2-adic automorphy lifting theorem for unitary groups over CM fields, The Tamagawa number conjecture of adjoint motives of modular forms, Elliptic curves of odd modular degree, Serre's modularity conjecture. I, Serre's modularity conjecture. II, Modularity of 2-adic Barsotti-Tate representations



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