Explore a comprehensive lecture on optimal transport and high dimensional probability in Wasserstein spaces, delivered by Yair Shenfeld from Brown University, USA. Delve into the intricate connections between these mathematical concepts and gain insights into their applications in various fields. Discover the fundamental principles of Wasserstein spaces and their role in optimal transport theory. Examine the interplay between high-dimensional probability and optimal transport, uncovering new perspectives on statistical and machine learning problems. Engage with advanced mathematical concepts and techniques presented by an expert in the field during this 56-minute talk at the Institute for Mathematical Sciences.