This conference, on the interplay between PDEs and probability, and following a previous edition that took place at the CIRM in 2017, will focus on the study of such particle systems, with an emphasis on mean-fields models with singular interactions, such as the Boltzman, Landau and Keller-Segel equations, as well as systems of conservation laws, which arise as scaling limits of asymmetric particle systems under hyperbolic scaling.