Base change, lifting, and Serre's conjecture

DOI10.1006/jnth.1997.2093zbMath0877.11057OpenAlexW2013071777WikidataQ123274480 ScholiaQ123274480MaRDI QIDQ1355099

Chandrashekhar B. Khare

Publication date: 29 October 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2093

zbMATH Keywords

Witt ringSerre's conjecturelifting Galois representations

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (6)

Lifting mod \(p\) representations to characteristics \(p^{2}\). ⋮ Pseudodeformations ⋮ Deformation rings and base change ⋮ Lifting Galois representations over arbitrary number fields ⋮ Irreducibility of versal deformation rings in the \((p,p)\)-case for 2-dimensional representations ⋮ Lifting low-dimensional local systems

Cites Work

• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Galois Cohomology

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