Part of the YES workshop series Summary Theory and Computational Aspects In the last 30 years, the theory of Optimal Transport has emerged as a fertile field of inquiry, and a diverse tool for exploring applications within and beyond mathematics, in such diverse fields as economics, meteorology, geometry, fluid mechanics, design problems, theoretical chemistry, and engineering. More recently, due to unexpected connections, for instance with Data Sciences and Statistical Inference, theoretical and computational aspects of Optimal Transport regained substantial attention…