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Explore new stability results for sequences of metric measure spaces with uniform Ricci bounds in this 43-minute lecture by Shouhei Honda from the Hausdorff Center for Mathematics. Delve into stability results with respect to measured Gromov-Hausdorff convergence under lower Ricci bounds and their applications. Discover the continuity of Cheeger's isoperimetric constants and a new almost suspension theorem. Learn about joint work with Luigi Ambrosio presented during the Follow-up Workshop to JTP Optimal Transportation as part of the (Junior) Hausdorff Trimester Program.