[PDF][PDF] Représentations de GL2 (Qp) et (ϕ, Γ)-modules

P Colmez - Astérisque, 2010 - webusers.imj-prg.fr
Let L be a finite extension of Qp. We construct a (p-adic local Langlands) correspondence
attaching to any irreducible, 2-dimensional, L-representation of GQp, a unitary, admissible …

Représentations p-adiques et équations différentielles

L Berger - Inventiones mathematicae, 2002 - Springer
In this paper, we associate to every p-adic representation V ap-adic differential equation D†
rig (V), that is to say a module with a connection over the Robba ring. We do this via the …

[图书][B] Selmer complexes

J Nekovár, K Iwasawa - 2006 - webusers.imj-prg.fr
(0.0) Big Galois representations In this work we study cohomological invariants of “big
Galois representations” ρ: G−→ AutR (T), where (i) G is a suitable Galois group.(ii) R is a …

[PDF][PDF] Construction des représentations p-adiques semi-stables

P Colmez, JM Fontaine - Inventiones mathematicae, 2000 - webusers.imj-prg.fr
Nous prouvons que tout (ϕ, N)-module filtré faiblement admissible est admissible, ce qui
fournit une description de la catégorie des représentations semi-stables d'un corps local …

[图书][B] Kolyvagin systems

B Mazur, K Rubin - 2004 - mat.uab.cat
Since their introduction by Kolyvagin, Euler systems have been used in several important
applications in arithmetic algebraic geometry. For a p-adic Galois module T, Kolyvagin's …

Cohomology of arithmetic families of (𝜑, Γ)-modules

K Kedlaya, J Pottharst, L Xiao - Journal of the American Mathematical …, 2014 - ams.org
We prove the finiteness and compatibility with base change of the $(\varphi,\Gamma) $-
cohomology and the Iwasawa cohomology of arithmetic families of $(\varphi,\Gamma) …

Rankin--Eisenstein classes and explicit reciprocity laws

G Kings, D Loeffler, SL Zerbes - arXiv preprint arXiv:1503.02888, 2015 - arxiv.org
We construct three-variable $ p $-adic families of Galois cohomology classes attached to
Rankin convolutions of modular forms, and prove an explicit reciprocity law relating these …

[PDF][PDF] Représentations p-adiques surconvergentes

F Cherbonnier, P Colmez - Inventiones mathematicae, 1998 - webusers.imj-prg.fr
REPRÉSENTATIONS p-ADIQUES SURCONVERGENTES Page 1 REPRÉSENTATIONS p-ADIQUES
SURCONVERGENTES par Frédéric Cherbonnier & Pierre Colmez Résumé. Soit K un corps …

[图书][B] On the p-adic L-function of a modular form at a supersingular prime

RJ Pollack - 2001 - search.proquest.com
In this paper, we study the p-adic L-functions attached to a modular form f=∑ anqn at a
supersingular prime and mainly the case when ap= 0. It is known in many cases that these L …

Study of decays involving kaons, spectral functions and determination of the strange quark mass

ALEPH collaboration, R Barate - … Physical Journal C-Particles and Fields, 1999 - Springer
All ALEPH measurements of branching ratios of τ decays involving kaons are summarized
including a combination of results obtained with K^0_S and K^0_L detection. The decay …