Explicit deformation of Galois representations

DOI10.1007/BF01239511zbMath0698.12012MaRDI QIDQ912148

Nigel Boston

Publication date: 1991

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143855

zbMATH Keywords

Galois representationsprofinite groupsclassification of p-adic representationsuniversal lift

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Integral representations (11S23)

Related Items (23)

Representations related to CM elliptic curves ⋮ Dihedral universal deformations ⋮ Unnamed Item ⋮ The prime-to-adjoint principle and unobstructed Galois deformations in the Borel case ⋮ An arithmetic site for the rings of integers of algebraic number fields ⋮ A universal deformation ring with unexpected Krull dimension ⋮ An analogy between representations of knot groups and Galois groups ⋮ Galois representations with open image ⋮ Deformations of locally abelian Galois representations and unramified extensions ⋮ Families of Galois representations - increasing the ramification ⋮ Some cases of the Fontaine-Mazur conjecture ⋮ Prime decomposition and the Iwasawa MU-invariant ⋮ Unnamed Item ⋮ Deformations of pseudorepresentations ⋮ Deformations for function fields ⋮ Non-abelian Cohen–Lenstra heuristics over function fields ⋮ Deforming an even representation. II: Raising the level ⋮ Level 1 Hecke algebras of modular forms modulo ⋮ HEURISTICS FOR -CLASS TOWERS OF REAL QUADRATIC FIELDS ⋮ Unramified subextensions of ray class towers ⋮ Finiteness conjectures for \({\mathbb F}_lT\)-analytic extensions of number fields ⋮ Deformations of reducible Galois representations to Hida-families ⋮ On some \(\Lambda\)-analytic pro-\(p\) groups

Cites Work

• Powerful \(p\)-groups. II: \(p\)-adic analytic groups
• A note on \(\ell\)-class groups of certain algebraic number fields
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Non-Abelian free pro-\(p\)-groups cannot be represented by 2-by-2 matrices
• Hasse invariants and anomalous primes for elliptic curves with complex multiplication
• On the maximal \(p\)-extensions of real quadratic-fields unramified outside \(p\)
• Galois properties of points of finite order of elliptic curves
• Iwasawa theory for the symmetric square of an elliptic curve.
• The Irregular Primes to 125000
• Functors of Artin Rings
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