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Monday 20 January 2020, 15:00-16:00
An optimal transport formulation of the Einstein equations of general relativity
- đ¤ Speaker: Andrea Mondino (Univ. of Oxford)
- đ Date & Time: Monday 20 January 2020, 15:00 - 16:00
- đ Venue: CMS, MR13
Abstract
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.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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