  Nuclear structure theory has recently gone through a major renewal with the
development of ab initio techniques that can be applied to a large number of
atomic nuclei, well beyond the light sector that had been traditionally
targeted in the past. Self-consistent Green's function theory is one among
these techniques. The present work aims to give an overview of the
self-consistent Green's function approach for atomic nuclei, including examples
of recent applications and a discussion on the perspectives for extending the
method to nuclear reactions, doubly open-shell systems and heavy nuclei.
