Abstract:

At least two connections can be made between optimal transport theory  and gravitation: 1) Monge-Ampere gravitation can be seen as a nonlinear  correction to classical Newtonian gravitation and present several interesting features:  a) it makes exact the approximate model made by Zeldovich for the modeling of the  early universe in computational cosmology, b) it can be rather directly derived (through  large deviations and Gamma-convergence) from the purely stochastic model of a brownian cloud.  2) Einstein equations in vacuum describe special solutions of a  generalized optimal transport  problem with quadratic cost in a matrix-valued setting.  I will try to review some of these topics during the seminar.

For further information please contact elisur.magrini@unibocconi.it