This monograph investigates the geometric description of holonomic differential systems, focusing on the role of Stokes matrices and filtrations. The author, Claude Sabbah, presents an approach to understanding linear differential equations with irregular singular points through Stokes filtrations. The work extends this perspective to holonomic systems on complex manifolds, establishing a Riemann-Hilbert correspondence for vector bundles with meromorphic connections. It also explores applications to distributional solutions and operations on Stokes-filtered local systems.

The subject matter points to a dense, specialist text aimed at researchers and advanced students in mathematics and theoretical physics. The focus on geometric descriptions and abstract algebraic structures suggests a rigorous and theoretical treatment of differential equations. The Riemann-Hilbert correspondence and applications to distributional solutions indicate a connection to contemporary research problems in the field.