In-Person Talk 

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. 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. This presentation is based on joint work with Aaron Naber and Daniele Semola.