Modularity of Galois representations.

DOI10.5802/jtnb.407zbMath1057.11032OpenAlexW1967750875MaRDI QIDQ1424591

Christopher M. Skinner

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_367_0

zbMATH Keywords

Galois representationsmodularity

Mathematics Subject Classification ID

Galois representations (11F80) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

On the parity of ranks of Selmer groups IV. With an appendix by Jean-Pierre Wintenberger

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On ordinary \(\lambda\)-adic representations associated to modular forms
• The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
• Level lowering for modular \(\text{mod }\ell\) representations over totally real fields
• Companion forms and weight one forms
• Motives for Hilbert modular forms
• The Taylor-Wiles construction and multiplicity one
• Residually reducible representations and modular forms
• Nearly ordinary deformations of irreducible residual representations
• Base change and a problem of Serre
• On the modularity of \(\mathbb Q\)-curves
• On the modularity of certain 2-adic Galois representations
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• On deformation rings and Hecke rings
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Modularity of certain potentially Barsotti-Tate Galois representations
• Ordinary representations and modular forms