  The goal of this paper is to build a theory of Stokes structures in an
abstract infinity categorical context and to show that Stokes structures coming
from flat bundles form a locally geometric derived stack of finite
presentation. This generalizes existing geometricity results on Stokes
structures in four different directions : our result applies in any dimension,
infinity categorical coefficients are allowed, derived structures on moduli
spaces are considered and more general spaces than those arising from flat
bundles are permitted.
