Construction of some families of 2-dimensional crystalline representations
L Berger, H Li, H June Zhu - Mathematische Annalen, 2004 - Springer
We construct explicitly some analytic families of étale (φ, Γ)-modules, which give rise to
analytic families of 2-dimensional crystalline representations. As an application of our …
analytic families of 2-dimensional crystalline representations. As an application of our …
An introduction to the theory of p-adic representations
L Berger - Geometric aspects of Dwork theory, 2004 - degruyter.com
This informal article is an expanded version of two lectures given in Padova during the
“Dwork Trimester” in June 2001. Their goal was to explain the proof of the p-adic …
“Dwork Trimester” in June 2001. Their goal was to explain the proof of the p-adic …
Equations differentielles p-adiques et (phi, N)-modules filtres
L Berger - arXiv preprint math/0406601, 2004 - arxiv.org
The goal of this article is to show that the following two categories are equivalent (1) the
category of filtered (phi, N, G_K)-modules (2) the category of (phi, Gamma_K)-modules over …
category of filtered (phi, N, G_K)-modules (2) the category of (phi, Gamma_K)-modules over …
On Serre's reciprocity conjecture for 2-dimensional mod p representations of the Galois group of Q
C Khare, JP Wintenberger - arXiv preprint math/0412076, 2004 - arxiv.org
We first prove the existence of minimally ramified p-adic lifts of 2-dimensional mod p
representations, that are odd and irreducible, of the absolute Galois group of Q, in many …
representations, that are odd and irreducible, of the absolute Galois group of Q, in many …
Sur les repr\'esentations $ p $-adiques g\'eom\'etriques de conducteur 1 et de dimension 2 de $ G_ {\Q} $
JP Wintenberger - arXiv preprint math/0406576, 2004 - arxiv.org
arXiv:math/0406576v2 [math.NT] 30 Jun 2004 Page 1 arXiv:math/0406576v2 [math.NT] 30 Jun
2004 Sur les représentations p-adiques géométriques de conducteur 1 et de dimension 2 de …
2004 Sur les représentations p-adiques géométriques de conducteur 1 et de dimension 2 de …