Optimal Transport theory and its applications in cosmology

Abstract: I will begin with a concise review of the fundamental ideas underlying optimal transport theory, before illustrating how these concepts naturally emerge in cosmological contexts and provide a powerful framework for addressing the problem of cosmological reconstruction. I will then highlight how optimal transport extends beyond its analytical utility in handling big data, and demonstrate intriguing connections with certain theories of modified gravity.

general relativity and quantum cosmologymathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

JoMaReC - Joint Online Mathematical Relativity Colloquium

Series comments: This monthly online colloquium is meant to be accessible to and informative for mathematicians and mathematical physicists with a background in General Relativity, widely interpreted to include Lorentzian Geometry, and Geometric Analysis of various Partial Differential Equations related to General Relativity.

It is aimed to present motivation and applications of particular results and/or introduce specific subfields, while refraining from too much technicalities.