Boundary regularity and stability for spaces with Ricci curvature bounded below

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Elia Bru猫, IAS

In-Person Talk听

We present new stability and regularity results for Gromov-Hausdorff limits of manifolds with convex boundary and Ricci curvature bounded below. Our analysis builds upon a new epsilon-regularity theorem.听We discuss applications to the study of boundaries of RCD spaces, a class of metric measure structures satisfying a synthetic notion of Ricci bounded below.听This presentation is based on joint work with Aaron Naber and Daniele Semola.