Théorie d’Iwasawa des représentations 𝑝-adiques d’un corps local

Abstract

This paper takes up the study of Iwasawa theory of p p -adic representations of a local field via the theory of ( φ , Γ ) (\varphi ,\Gamma ) -modules. In particular, a vast generalisation of Coleman’s isomorphism is given as well as an explicit reciprocity law relating this isomorphism to Bloch-Kato’s exponential maps in the case of a de Rham representation.