JournalsrlmVol. 20 , No. 4DOI 10.4171/rlm/550

The level 1 case of Serre’s conjecture revisited

  • Luis Victor Dieulefait

    Universitat de Barcelona, Spain
The level 1 case of Serre’s conjecture revisited cover

Abstract

We prove existence of conjugate Galois representations, and we use it to derive a simple method of weight reduction. As a consequence, an alternative proof of the level 1 case of Serre’s conjecture follows.