Coleman maps and the p-adic regulator
We study the Coleman maps for a crystalline representation V with non-negative Hodge–
Tate weights via Perrin-Riou's p-adic “regulator” or “expanded logarithm” map ℒ V. Denote …
Tate weights via Perrin-Riou's p-adic “regulator” or “expanded logarithm” map ℒ V. Denote …
Local constancy for the reduction mod p of 2-dimensional crystalline representations
L Berger - Bulletin of the London Mathematical Society, 2012 - academic.oup.com
Irreducible crystalline representations of dimension 2 of are all twists of some
representations which depend on two parameters, the weight k and the trace of the …
representations which depend on two parameters, the weight k and the trace of the …
Langlands base change for GL (2)
L Dieulefait - Annals of mathematics, 2012 - JSTOR
Langlands base change for GL(2) Page 1 Annals of Mathematics 176 (2012), 1015-1038
http://dx.doi.org/10.4007/annals. 2012.176.2.7 Langlands base change for GL(2) By Luis …
http://dx.doi.org/10.4007/annals. 2012.176.2.7 Langlands base change for GL(2) By Luis …
Remarks on Serre's modularity conjecture
L Dieulefait - manuscripta mathematica, 2012 - Springer
In this article we give a proof of Serre's conjecture for the case of odd level and arbitrary
weight. Our proof does not use any modularity lifting theorem in characteristic 2 (moreover …
weight. Our proof does not use any modularity lifting theorem in characteristic 2 (moreover …
Construction de (phi, gamma)-modules en caractéristique p
M Vienney - 2012 - theses.hal.science
Cette thèse est constituée de deux parties indépendantes, étudiant deux aspects de la
théorie des (φ, Γ)-modules en caractéristique p. La première partie porte sur l'étude de la …
théorie des (φ, Γ)-modules en caractéristique p. La première partie porte sur l'étude de la …
Automorphy of m-fold tensor products of GL (2)
LV Dieulefait - arXiv preprint arXiv:1212.4423, 2012 - arxiv.org
We prove that for any m> 1 given any m-tuple of Hecke eigenforms $ f_i $ of level 1 whose
weights satisfy the usual regularity condition there is a self-dual cuspidal automorphic form …
weights satisfy the usual regularity condition there is a self-dual cuspidal automorphic form …
[PDF][PDF] On pairs of p-adic analogues of the conjectures of Birch and Swinnerton-Dyer
F Sprung - arXiv preprint arXiv:1211.1352, 2012 - Citeseer
For a weight two modular form and a good prime p, we construct a vector of Iwasawa
functions (L♯ p, L♭ p). In the elliptic curve case, we use this vector to put the p-adic …
functions (L♯ p, L♭ p). In the elliptic curve case, we use this vector to put the p-adic …