In this talk I will discuss some recent work with Konstantin Ardakov that seeks to develop a framework for a theory of D-modules for rigid analytic spaces in order to better understand the locally analytic representation theory of p-adic analytic groups. To be more precise, we define and study a canonical completion of the sheaf of classical differential operators on a rigid analytic space (in the sense of Tate) that may be viewed as a quantization of the sheaf of functions on the rigid analytic cotangent bundle. We introduce what we call ‘co-admissible modules’ for this sheaf of non-commutative rings. When the rigid analytic space is the flag variety of a split semisimple p-adic analytic group then there is an equivalence of categories between the category of “co-admissible D-modules” and co-admissible modules (in the sense of Schneider–Teitelbaum) of a certain canonical completion of the enveloping algebra of the associated Lie algebra with trivial infinitesimal central character. Much of this is written up in recent preprints that can be found on the ArXiv; some of it is not yet written up.