p-adic Hodge theory deals with special case of p-adic representations of the absolute Galois group G_K of a p-adic field K. In this talk, I´ll describe the construction of some "curves" defined over Q_p . I´ll also try to explain how one can use vector bundles over these curves to study p-adic representations of G_K. This is a part of a joint work with Laurent Fargues.