Deforming Galois Representations

  • B. Mazur
Conference paper
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 16)


Given a continuous homomorphism
$${G_{Q,S}}G{L_2}\left( {{Z_p}} \right)$$
where Gℚ,S is the Galois group of the maximal algebraic extension of ℚ unramified outside the finite set S of primes of ℚ, the motivating problem of this paper is to study, in a systematic way, the possible liftings of ρ̄ to p-adic representations,
$${G_{Q,S}}\mathop \to \limits^{{\rho _o}} G{L_2}\left( {{Z_p}} \right).$$


Modular Form Local Ring Galois Group Galois Representation Continuous Homomorphism 
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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • B. Mazur
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA

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