# Deforming Galois Representations

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

## Abstract

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,
$${G_{Q,S}}\mathop \to \limits^{{\rho _o}} G{L_2}\left( {{Z_p}} \right).$$
.

## Keywords

Modular Form Local Ring Galois Group Galois Representation Continuous Homomorphism
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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