Masaki Kashiwara - 4/6 Indsheaves, temperate holomorphic functions and irregular RH correspondence

http://www.ihes.fr/~abbes/CAGA/Kashiwara-Schapira.pdf http://webusers.imj-prg.fr/~pierre.schapira/conferences/Hol1.pdf 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.