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Explore the cutting-edge field of non-commutative optimal transport in this informative webinar about IPAM's Spring 2025 long program at UCLA. Gain insights into the resources provided for participants and delve into the themes of three main week-long workshops. Learn about the program's focus on evolution equations for density operators, quantum optimal transport, Wasserstein distances for density operators, semidefinite relaxation of non-commutative transport, statistical and probabilistic aspects, matrix and operator functional inequalities, and computational algorithms. Discover how this emerging field connects mathematics with applications in artificial intelligence, quantum physics, and electronic structure theory. Understand the challenges and opportunities in developing a unified geometrical perspective for non-commutative optimal transport variants.
