The derived moduli of Stokes data

Abstract

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

The paper "Homotopy theory of Stokes structures and derived moduli" arXiv:2401.12335v1 was split in two. Introduction improved and examples added. Comparison between Stokes functors and classical Stokes data in dimension 1 added (Th 10.7.7)