[HG_A] Reconstruction theorems for coadmissible D-cap modules
ABSTRACT
D-cap modules can be regarded as differential equations on rigid-analytic spaces. In this talk, I explain a framework for solving these differential equations. My main theorem is that this framework gives rise to a fully faithful embedding, from coadmissible D-cap as defined in the first talk, into a certain category of complexes over the overconvergent almost de Rham period ring. This result may be regarded as a Riemann-Hilbert correspondence for coadmissible D-cap modules.
