Vector bundles and p-adic representations I

Abstract

We define and study a certain category of vector bundles on a p-adic curve to which we can associate in a functorial way finite dimensional p-adic representations of the geometric fundamental group. Among other things we investigate two different relations of these constructions with the Hodge-Tate decomposition.

Cited by in corpus (5)

• Parallel transport and the p-adic Simpson correspondence
• On representations attached to semistable vector bundles on Mumford curves
• Monodromy Groups of Vector Bundles on p-adic Curves
• Vector bundles on p-adic curves and parallel transport
• There is no Bogomolov type restriction theorem for strong semistability in positive characteristic