We construct a two-variable analogue of Perrin-Riou's p-adic regulator map for the Iwasawa
cohomology of a crystalline representation of the absolute Galois group of ℚp, over a Galois …

We show that the Euler system associated with Rankin–Selberg convolutions of modular
forms, introduced in our earlier works with Lei and Kings, varies analytically as the modular …

We define a family of Coleman maps for positive crystalline p-adic representations of the
absolute Galois group of Qp using the theory of Wach modules. Let f=∑ anqn be a …

We prove that the eigencurve associated to a definite quaternion algebra over Q satisfies the
following properties, as conjectured by Coleman and Mazur as well as Buzzard and …

Abstract Recently, Andreatta, Iovita and Pilloni constructed spaces of overconvergent
modular forms in characteristic p, together with a natural extension of the Coleman–Mazur …

Under a stronger genericity condition, we prove the local analogue of ghost conjecture of
Bergdall and Pollack. As applications, we deduce in this case (a) a folklore conjecture of …

We extend the $ p $-adic local Langlands correspondence for $\textbf {GL} _2 (\mathbf {Q}
_p) $ to a correspondence $\Delta\mapsto\Pi (\Delta) $ between $(\varphi,\Gamma) …

La série principale unitaire de GL2 (Qp): vecteurs localement analytiques Page 297 8 La
série principale unitaire de GL2 ( Q p) : vecteurs localement analytiques Pierre Colmez …

Cet article s' inscrit dans le cadre de la correspondance de Langlands locale p-adique pour
la série principale unitaire de GL2 (Qp). Nous utilisons la théorie des (ϕ, Γ)-modules de …

Résumé Ce texte est une version étendue des notes d'un cours que j'ai donné en janvier
2018 aux «Journées Nationales de Calcul Formel»(JNCF). Ce cours portait sur …