Indsheaves, temperate holomorphic functions and irregular Riemann-Hilbert correspondence (1/6)
Prof.Masaki KASHIWARA, Prof.Pierre Schapira
(Université Paris 6)
Amphithéâtre Léon Motchane (IHES)
Amphithéâtre Léon Motchane
Le Bois Marie
35, route de Chartres
The aim of the course is to describe the Riemann-Hilbert correspondence for holonomic D-modules in the irregular case and its applications to integral transforms with irregular kernels, especially the Laplace transform. The course will start with a detailed exposition of the theory of indsheaves (including sheaves on the subanalytic site) and its applications to the indsheaf of holomorphic temperate functions.