I present an overview of the present state of the attempt to write a a consistent nonpertubative quantum theory for the gravitational field using the loop approach. The last five years have seen several results in the covariant version of the formalism and I focus on these. I also present the very recent derivation of the exact Bekenstein-Hawking black-hole entropy formula by Eugenio Bianchi.

CPT Luminy, Université Aix-Marseille