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Watch this 53-minute lecture by Marius Junge from the University of Illinois at Urbana-Champaign as he explores "Why Ricci curvature (almost) failed us in noncommutative dynamics" at IPAM's Dynamics of Density Operators Workshop at UCLA. Recorded on May 2, 2025, the talk reviews the connection between Wasserstein distance-entropy inequalities and concentration, explaining why attempts to formulate Ricci curvature for von Neumann or matrix algebras have been unsuccessful. Discover how to circumvent Ricci curvature for log-Sobolev inequalities and learn how order inequalities and Lipschitz norm can replace some of the Ricci-curvature tools in a noncommutative Bakry-Emry program. For more information, visit the Institute for Pure & Applied Mathematics (IPAM) website.
