Virtual Talk: "From the Monge transportation problem to Einstein's gravitation through Euler's Hydrodynamics"

Yann Brenier
Centre National de la Recherche Scientifique (CNRS)

The quadratic Monge optimal transportation problem can be revisited in Euler's language of Hydrodynamics as was explained by Jean-David Benamou and the speaker about 20 years ago. It turns out that Einstein's theory of gravitation, at least in vacuum, can be treated in a very similar way as a kind of quadratic matrix-valued optimal transportation problem.
Yann Brenier, CNRS, Laboratoire de Math\'ematiques d'Orsay


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