Abstract
Let V be a crystalline p -adic representation of the absolute Galois group of \mathbb Q_p . The author has built the Iwasawa theory of such a representation in Invent. Math (1994) and conjectured a reciprocity law which has been proved by P. Colmez. In this text, we write the initial construction with simplification and the proof of P. Colmez in a different language. This point of view will allow us to study the universal norms in the geometric cohomology classes associated to V by Bloch and Kato in a forthcoming article.
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