Construction des représentations p-adiques semi-stables

By P. Colmez, J. Fontaine. 2000

262 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/74bb86cfb2bffc02c7ca73368819e1c4366ef0ab

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

The p-adic local Langlands correspondence for GL_2(Q_p) (2013, background): “4] whose underlying (φ,GQp)-module is isomorphic to ∆ and the jumps of the filtration are −a and −a − k: if L ∈ F (∆,W ), the corresponding [22] representation VL of GQp is absolutely irreducible and its Hodge-Tate weights are a and a + k.”
Syntomic cohomology and p-adic regulators for varieties over p-adic fields (2013, background): “We know [19] that the pair of functors Dpst(V ) = inj limH(Bst ⊗Qp V ) , H ⊂ GK - an open subgroup, Vpst(D) = (Bst ⊗Knr 0 D) φ=Id,N=0 ∩ F (BdR ⊗K DK) define an equivalence of categories MF ad K (φ,N,GK) ' Reppst(GK).”
First steps towards p-adic Langlands functoriality (2006, background): “finite dimensional K-linear continuous representations of Gal(Qp/L), the inverse of the functor Dcris induces a faithful tensor functor ([ 8 ]):”
Construction de (φ,Γ)-modules: représentations p-adiques et B-paires (2008, unknown): “Le (2) suit du théorème A de [Colmez et Fontaine 2000] ou bien (si l’on préfère passer par les (φ, 0K )-modules) du théorème B de [Berger 2004a].”
Period spaces for Hodge structures in equal characteristic (2005, methodology): “Fontaine conjectured that weakly admissible implies admissible and this was proved by Colmez-Fontaine [19].”
An introduction to the theory of p-adic representations (2002, methodology): “The theorem of Colmez-Fontaine is proved in Colmez-Fontaine’s [30], as well as in Colmez’s [28, §10] and it is reviewed in Fontaine’s [43, §5].”
Crystalline representations and F -crystals (2006, background): “Since the left-hand side has Qp-dimension d = dimK0 D by Corollary 2.1.4, the dimension of the right-hand side is ≥ d. But now an elementary argument [ CF , Proposition 4.5] shows that the right-hand side has dimension d, and D is admissible.”
Slope filtrations (2008, unknown): “[27] F. Cherbonnier, P. Colmez, Représentations p-adiques s rconvergentes.”