Talk page

Title:
From the Monge transportation problem to Einstein's gravitation through Euler's Hydrodynamics

Speaker:
Yann Brenier

Abstract:
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.

Link:
https://www.ias.edu/video/monge-transportation-problem-einsteins-gravitation-through-eulers-hydrodynamics