p-adic Hilbert Modular Forms.

Corresponds to §1.9, §1.10, §1.11 and §1.12. §1.11.

The goal is to explain the p-adic theory needed to perform the main construction of the work. It is interesting to remark, as mentionned in the introduction, the possibility of p-adic interpolation of the L-values considered in this work
springs from the fact of a p-adic analogue for ordinary abelian varieties of the splitting explained in §1.8.