Langlands base change for \(\mathrm{GL}(2)\)

DOI10.4007/annals.2012.176.2.7zbMath1288.11054arXiv0912.2080OpenAlexW2131235030MaRDI QIDQ456670

Luis V. Dieulefait

Publication date: 16 October 2012

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2080

zbMATH Keywords

Galois representationbase changeLanglands functorialityHilbert modular form

Mathematics Subject Classification ID

Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Geometric Langlands program: representation-theoretic aspects (22E57)

Related Items (5)

Automorphy of \(m\)-fold tensor products of GL(2) ⋮ Automorphy of \(\mathrm{Symm}^5(\mathrm{GL}(2))\) and base change ⋮ Almost totally complex points on elliptic curves ⋮ Base change for elliptic curves over real quadratic fields ⋮ Arithmetic applications of the Langlands program

Cites Work

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• Congruences between Hilbert modular forms: constructing ordinary lifts
• Remarks on Serre's modularity conjecture
• Serre's conjecture over \(\mathbb F_9\)
• Moduli of finite flat group schemes, and modularity
• Serre's conjecture and base change for \(\text{GL}(2)\)
• Serre's modularity conjecture. I
• Serre's modularity conjecture. II
• Modularity of 2-adic Barsotti-Tate representations
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• A local analysis of congruences in the \((p,p)\) case. II
• On the modularity of certain \(\text{GL}_2(\mathbb{F}_7)\) Galois representations
• Nearly ordinary deformations of irreducible residual representations
• The weight in Serre's conjectures on modular forms
• Construction of some families of 2-dimensional crystalline representations
• Modular elliptic curves and Fermat's Last Theorem
• Potential automorphy and change of weight
• Representations induced in an invariant subgroup
• Notes on modularity lifting in the ordinary case
• The Fontaine-Mazur conjecture for $ {GL}_2$
• on l-adic representations attached to modular forms II
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• On icosahedral Artin representations, II
• Représentations semi-stables de torsion dans le cas er < p − 1

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