| Abstract | Deninger and Werner developed an analogue for p-adic curves of the classical correspondence of Narasimhan and Seshadri. Using parallel transport, they associated functorially to every vector bundle on a p-adic curve whose reduction is strongly semi-stable of degree 0 a p-adic representation of the étale fundamental group of the curve. We will explain how to use fundamental results in p-adic Hodge theory to understand their construction in the context of p-adic Simpson correspondence developed by Faltings. |
