Optimal Transport, Martingales, Partitions and Applications to Geometry

Explore the mathematical connections between optimal transport theory, martingales, and geometric partitions in this 33-minute seminar lecture. Delve into advanced mathematical concepts as BIMSA researcher Krzysztof Ciosmak presents his work on the intersection of these three fundamental areas of mathematics. Learn how optimal transport theory, which studies the most efficient ways to move mass from one distribution to another, relates to martingale theory from probability and stochastic processes. Discover applications of these mathematical tools to geometric problems, particularly those involving partitions and their properties. Gain insights from a researcher with expertise in optimal transport and 1-Lipschitz maps, who has held positions at prestigious institutions including Oxford University, University of Toronto, and the Fields Institute. Access accompanying slides and materials to deepen your understanding of these sophisticated mathematical concepts and their geometric applications.