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Explore the mathematical theory of Wasserstein projections within the framework of convex order in this 54-minute conference talk delivered by Benjamin Jourdain from CERMICS at École Nationale des Ponts et Chaussées. Delve into advanced concepts at the intersection of optimal transport theory and stochastic analysis, examining how Wasserstein projections behave under convex ordering constraints. Learn about the theoretical foundations and applications of these projections, which play a crucial role in understanding the geometric structure of probability measures and their relationships. Gain insights into cutting-edge research in optimal transport theory and its connections to stochastic processes, presented as part of the Fields Institute's program on optimal transport, stochastics, projections, and applications.
