Introduction to Stokes structures

Claude Sabbah (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

The purpose of these lectures is to introduce the notion of a Stokes-perverse sheaf as a receptacle for the Riemann-Hilbert correspondence for holonomic D-modules. They develop the original idea of P. Deligne in dimension one, and make it enter the frame of perverse sheaves. They also give a first step for a general definition in higher dimension, and make explicit particular cases of the Riemann-Hilbert correspondence, relying on recent results of T. Mochizuki.

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Claude Sabbah. Introduction to Stokes structures. Springer Verlag, pp.viii+249, 2013, Lecture Notes in Mathematics, ⟨10.1007/978-3-642-31695-1⟩. ⟨hal-00816206⟩