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SUMMARY:Christian Ketterer (University of Toronto)
DTSTART:20210309T180000Z
DTEND:20210309T190000Z
DTSTAMP:20260423T035053Z
UID:OSGA/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/51/">In
 scribed radius bounds for metric measure spaces with mean-H-convex boundar
 y</a>\nby Christian Ketterer (University of Toronto) as part of Online Sem
 inar "Geometric Analysis"\n\n\nAbstract\nWe introduce a synthetic lower me
 an curvature bound for the\ntopological boundary of a subset in a metric m
 easure space that satisfies a\nlower Ricci curvature bound in the sense of
  Lott\, Sturm and Villani.  This \nlower mean curvature bound coincides 
 with the classical notion in smooth\ncontext. As application I present a t
 heorem about sharp comparison estimates\nfor the inscribed radius of such 
 subsets.  Moreover\, in the context of\nRCD(0\,N) metric measure spaces (
 Riemannian curvature-dimension condition)\nequality holds if and only if t
 he subset is isometric to a geodesic ball\ncentered at the tip of an Eucli
 dean cone. This generalizes theorems in\nsmooth context by Kasue and Sakur
 ai to a singular framework. This is a joint\nwork with Annegret Burtscher\
 , Robert McCann and Eric Woolgar.\n
LOCATION:https://researchseminars.org/talk/OSGA/51/
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