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SUMMARY:An optimal transport formulation of the Einstein equations of gene
 ral relativity - Andrea Mondino (Univ. of Oxford)
DTSTART:20200120T150000Z
DTEND:20200120T160000Z
UID:TALK131236@talks.cam.ac.uk
CONTACT:Jessica Guerand
DESCRIPTION:In the seminar I will present a recent work joint with  S. Suh
 r (Bochum) giving an optimal transport formulation of the full Einstein eq
 uations of general relativity\, linking the (Ricci) curvature of a space-t
 ime with the cosmological constant and the energy-momentum tensor. Such an
  optimal transport formulation is in terms of convexity/concavity properti
 es of the Shannon-Bolzmann entropy along curves of probability measures ex
 tremizing suitable optimal transport costs. The result gives a new connect
 ion between general relativity and  optimal transport\; moreover it gives 
 a mathematical reinforcement of the strong link between general relativity
  and   thermodynamics/information theory that emerged in the physics liter
 ature of the  last years.
LOCATION:CMS\, MR13
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