Abstract: The aim of the talk is to discuss large deviation principle for interacting particle systems. Firstly, we give a brief overview of large deviations results and techniques along with the connections with the theory of optimal control, Gamma-convergence and gradient flows. Then we concentrate our attention on some specific problem for McKean-Vlasov diffusions and, if time allows, other type of interaction. Part of the talk is based on joint collaborations with G. Cavagnari, M. Fornasier, S. Lisini, G. Savaré