授课人：Krzysztof Ciosmak （北京雁栖湖应用数学研究院BIMSA）

摘要：

It is well known that the L^1 optimal transport between two probabilities is concentrated on transport rays. These rays are minimising geodesics, and therefore allow for a reduction of the dimensionality of some geometric problems. The aim of the course is to discuss this method, present some of its applications, and its extensions. In particular, we will discuss its application to the isoperimetric inequalities, and its extension to the setting of vector measures. We will also study the closely related second-order Beckmann problem and the martingale transport problem.

时间：6月8日9:00-12:00， 6月9日9:00-12:00

地点：知新楼B1032