[HG_A] Towards a Kashiwara-style constructibility theorem for p-adic D-modules
ABSTRACT
The constructions made in my second talk are quite abstract, and in this talk, I make them concrete. I compute explicit instances of the Riemann-Hilbert correspondence presented in my second talk. In these examples, we find that the solutions of many D-cap modules have constructible cohomology. This suggests that there is a p-adic version of Kashiwara's constructibility theorem in complex geometry, which states that the solution complexes of holonomic D-modules on complex manifolds have constructible cohomology. This is joint work in progress with Konstantin Ardakov.