| Résume | Automorphy lifting theorems aim to show that a p-adic global Galois representation that is unramified almost everywhere and de Rham at places dividing p is associated to an automorphic representation, provided its reduction modulo p is. In the past years there has been a lot of progress in the case of polarizable representations that are crystalline at p. In the semi-stable case much less is known (beyond the ordinary case and the 2-dimensional case). I will explain how one can use results about p-adic automorphic forms in combination with the Taylor-Wiles method to deduce the semi-stable case from the crystalline case. |
