  This is an announcement of a long paper in progress. On a locally compact
space, we introduce the stack of ind-sheaves (ind-objects of the category of
sheaves with compact support) and construct the analogous of the usual six
operations on sheaves. As an application, we treat, in the formalism of
ind-sheaves, functions with growth conditions such as the ``tempered
holomorphic functions'' on a complex manifold. We also construct a
microlocalization functor from the category of sheaves on a manifold to that of
ind-sheaves on the cotangent bundle.
