I will recall the construction of the Deligne-Getzler-Hinich(DGH) infinity groupoid of an L-infinity algebra and present a very general version of the Goldman-Millson theorem which states that, under favorable conditions, an infinity quasi-isomorphism induces a weak equivalence between the corresponding DGH (infinity) groupoids. This talk is based on the joint paper http://arxiv.org/abs/1407.6735 with Chris Rogers.