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SUMMARY:Robert J. McCann (University of Toronto)
DTSTART:20230302T143000Z
DTEND:20230302T153000Z
DTSTAMP:20260423T023042Z
UID:jomarec/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/24/"
 >A nonsmooth approach to Einstein's theory of gravity</a>\nby Robert J. Mc
 Cann (University of Toronto) as part of JoMaReC - Joint Online Mathematica
 l Relativity Colloquium\n\n\nAbstract\nWhile Einstein's theory of gravity 
 is formulated in a smooth setting\, the celebrated singularity theorems of
  Hawking and Penrose describe many physical situations in which this smoot
 hness must eventually breakdown. In positive-definite signature\, there is
  a highly successful theory of metric and metric-measure geometry which in
 cludes Riemannian manifolds as a special case\,  but permits the extractio
 n of nonsmooth limits under dimension and curvature bounds analogous to th
 e energy conditions in relativity: here sectional curvature is reformulate
 d through triangle comparison\,  while Ricci curvature is reformulated usi
 ng entropic convexity along geodesics of probability measures. This lectur
 e explores recent progress in the development of an analogous theory in Lo
 rentzian signature\, whose ultimate goal is to provide a nonsmooth theory 
 of gravity.\n
LOCATION:https://researchseminars.org/talk/jomarec/24/
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