[HG_A] Coadmissible D-cap modules on rigid-analytic spaces
ABSTRACT
I give an overview of Ardakov-Wadsley's theory of D-cap-modules on rigid analytic spaces. Here, D-cap refers to the sheaf of infinite order differential operators, whose definition I explain in detail. Then, I discuss the category of coadmissible D-cap-modules, as an analog of the coherent D-modules in the classical algebraic theory. Finally, I speak about applications to the admissible locally analytic representation theory of p-adic Lie groups, in particular, the Beilinson-Bernstein localisation theorems of Ardakov-Wadsley and Ardakov.
