We extend many results on Selmer groups for elliptic curves and modular forms to the non-
ordinary setting. More precisely, we study the signed Selmer groups defined using the …

Let f and g be two modular forms which are nonordinary at p. The theory of Beilinson–Flach
elements gives rise to four rank-one nonintegral Euler systems for the Rankin–Selberg …

We compare two different constructions of cyclotomic p-adic L-functions for modular forms
and their relationship to Galois cohomology: one using Kato's Euler system and the other …

1.1. The setting. Throughout this article, we fix an odd prime p and embeddings ι∞:↩→ and
ιp:↩→ p. Let f and g be two normalised, new cuspidal modular eigenforms, of weights k f+ 2 …

Le but de cette thèse est d'étudier les zéros exceptionnels des fonctions L p-adiques de
Rankin-Selberg. Autrement dit, pour un couple de formes modulaires nous étudierons …