From the Monge Transportation Problem to Einstein's Gravitation Through Euler's Hydrodynamics

Explore the fascinating connections between the Monge transportation problem, Einstein's theory of gravitation, and Euler's hydrodynamics in this 53-minute lecture from the Workshop on Geometry and Analysis of Fluid Flows. Delivered by Yann Brenier from Ecole Polytechnique, delve into the intricate mathematical relationships that link these seemingly disparate fields. Gain insights into how concepts from optimal transport theory intersect with fluid dynamics and general relativity, providing a unique perspective on the underlying mathematical structures that govern our understanding of space, time, and matter.