Dihedral universal deformations

DOI10.1007/s40993-020-00197-yzbMath1479.11087arXiv1805.05438OpenAlexW3040019301MaRDI QIDQ2660593

Shaunak V. Deo, Gabor Wiese

Publication date: 31 March 2021

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

Full work available at URL: https://arxiv.org/abs/1805.05438

zbMATH Keywords

deformations of Galois representationsmodularity liftingdihedral representations

Mathematics Subject Classification ID

Galois representations (11F80) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (1)

Class groups and local indecomposability for non-CM forms

Uses Software

• Magma
• LMFDB

Cites Work

• On local Galois representations associated to ordinary Hilbert modular forms
• Finiteness of unramified deformation rings
• Explicit deformation of Galois representations
• Some cases of the Fontaine-Mazur conjecture. II
• The Magma algebra system. I: The user language
• Overconvergent modular forms and the Fontaine-Mazur conjecture
• Non-minimal modularity lifting in weight one
• Modularity lifting beyond the Taylor-Wiles method
• On the local behaviour of ordinary \(\Lambda\)-adic representations.
• Image of pseudo-representations and coefficients of modular forms modulo \(p\)
• Classical weight one forms in Hida families: Hilbert modular case
• Notes on the arithmetic of Hilbert modular forms
• Locally Indecomposable Galois Representations
• Classical and overconvergent modular forms
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