Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 1
Explore optimal transportation, Monge-Ampère equations, and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio from Scuola Normale Superiore di Pisa.
The Eldan-Gross Inequality - From Boolean Functions to Continuous Spaces
Delve into advanced mathematical concepts exploring the Eldan-Gross inequality, sensitivity of Boolean functions, and heat semigroup analysis through hypercontractivity and isoperimetric approaches.
Timelike Ricci Bounds and Einstein's Theory of Gravity in Non-Smooth Settings
Explore Lorentzian synthetic spaces, optimal transport theory, and timelike Ricci curvature bounds to characterize Einstein's equations in non-smooth spaces, with applications to gravity.
Lorentzian Length Spaces: An Introduction to Synthetic Lorentzian Geometry
Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.