YoVDO

Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 1

Offered By: ICTP Mathematics via YouTube

Tags

Optimal Transport Courses Mathematical Analysis Courses Partial Differential Equations Courses Measure Theory Courses Riemannian Geometry Courses Ricci Curvature Courses Monge-Ampère Equation Courses

Course Description

Overview

Explore the fundamental concepts of optimal transportation, Monge-Ampère equations, and Riemannian Ricci bounds in this comprehensive lecture delivered by L. Ambrosio from Scuola Normale Superiore di Pisa, Italy. Delve into the intricate connections between these mathematical topics as the speaker presents the first part of a series on this subject. Gain valuable insights into the theoretical foundations and practical applications of these advanced mathematical concepts in the fields of geometry, analysis, and probability theory. This in-depth presentation, lasting nearly two hours, offers a rigorous exploration of the subject matter, suitable for graduate students and researchers in mathematics and related disciplines.

Syllabus

Optimal transportation, Monge-Ampère equations and Riemannian Ricci bounds - 1


Taught by

ICTP Mathematics

Related Courses

Existence Theory of Minimal Hypersurfaces - Fernando Marquez
Institute for Advanced Study via YouTube Canonical Kaehler Metrics and Stability of Algebraic Varieties
International Mathematical Union via YouTube Ricci Curvature and Functional Inequalities for Interacting Particle Systems
Hausdorff Center for Mathematics via YouTube Curvature Bounds and the Length of the Shortest Closed Geodesic
Applied Algebraic Topology Network via YouTube Kähler Manifolds with Curvature Bounded Below
International Mathematical Union via YouTube