The subanalytic site and its use in the study of D-modules on complex curves

Recently M. Kashiwara and P. Schapira have introduced the subanalytic site and the sheaf of tempered holomorphic functions on it in the study of ordinary differential equations. We well briefly recall the setting of the subanalytic site stressing on the open sets and the points of the associated topos. Then we will expose our results on tempered solutions of D-modules on complex curves comparing with the classification given by formal invariants and Stokes phenomena as exposed in B. Malgrange works.