Bornological D-modules on rigid analytic spaces
By Andreas Bode
Appears in collection : Tropical Geometry, Berkovich Spaces, Arithmetic D-Modules and p-adic Local Systems
Ardakov-Wadsley introduced p-adic D-cap-modules on rigid analytic spaces in order to study p- adic representations geometrically, in analogy to the theory of Beilinson-Bernstein localization over the complex numbers. In this talk, we report on an ongoing project to extend their framework to the (derived) category of complete bornological D-cap-modules, which allows us to define analogues of the usual six operations. We then consider a subcategory playing the role of Db coh(D) and prove a number of stability results.
