The program's primary objective is to foster new collaborations, both on existing links within the analysis of PDEs and calculus of variations communities, and towards a closer interplay with machine learning and artificial intelligence. We will foster the communication of the latest vanguard results of interest for the above fields, to find a common ground of collaboration and promote cross-pollination of the technical advancements. To this aim, the program will feature both world leading experts in nonlinear diffusion models, nonlocal many-particle systems modelling, kinetic PDEs, and machine learning modelling, together with \normalcolor some of the most promising young researchers in those fields.