Janine Roshardt (ETH Zürich)

By works of Nathalie Wach and Laurent Berger there is an equivalence of Wach modules over B_Q_p^+ and crystalline p-adic representations of the absolute Galois group over Q_p. Jonathan Pottharst has stated a generalization of this equivalence to crystalline (phi, Gamma)-modules over the Robba ring, but no proof has appeared in the literature. In this talk, I will explain the ideas underlying this generalization and the construction of Wach modules over the positive Robba ring.