Title: Generalized Gibbs measures Abstract : In this talk, we shall describe the theory of generalized Gibbs measures, developed during the last decades to provide a rigorous framework describing equilibrium states in mathematical statistical mechanics including renormalized measures and to circumvent most of their pathologies, raised in the late sixties by Griffiths Pearce and Israel. The explanation of their origin gave rise to the so-called Dobrushin program of restoration of Gibbsianness, whose state of art will be described during the talk.