Abstract: This talk is meant to be a non-technical introduction to a recent Astérisque entitled
"Subanalytic sheaves and Sobolev spaces". The motivation comes from the sheaf
of tempered distributions introduced by Kashiwara. The linear subanalytic sites of
Guillermou-Schapira allows one to treat the more sophisticated function spaces such
as the Gevrey functions with given order, or the Sobolev spaces. Sobolev sheaves are
the (complexes of) sheaves on subanalytic sites that coincide with the classical Sobolev
spaces on the subanalytic Lipschitz domains.