In the last few years there has been enormous progress in the rigorous understanding of the emergence of macroscopic effective theories for many-particle systems. This event aims at gathering researchers working on many-body classical and quantum systems, as well as on the analysis of nonlinear partial differential equations describing effective models. The workshop will give an overview of the latest developments in the field, and will stimulate interactions between researchers working in statistical mechanics and in the analysis on nonlinear partial differential equations.