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Mathematical Research at the University of Cambridge

 

In the seminar I will present a recent work joint with S. Suhr (Bochum) giving an optimal transport formulation of the full Einstein equations of general relativity, linking the (Ricci) curvature of a space-time with the cosmological constant and the energy-momentum tensor. Such an optimal transport formulation is in terms of convexity/concavity properties of the Shannon-Bolzmann entropy along curves of probability measures extremizing suitable optimal transport costs. The result gives a new connection 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 literature of the last years.

Further information

Time:

20Jan
Jan 20th 2020
15:00 to 16:00

Venue:

CMS, MR13

Speaker:

Andrea Mondino (Univ. of Oxford)

Series:

Geometric Analysis and Partial Differential Equations seminar