学术报告：10月21号14点-15点，中科院--李向东

报告人

Speaker

李向东

Li Xiangdong

单位

Affiliation

中科院数学与系统科学研究院

Academy of   Mathematics and Systems Science, CAS

报告题目

Title

On the optimal transport problem and W-entropy

报告时间

Time

下午14：00-15：00，2019年10月21日

14：00-15：00，October 21^th, 2019

地点

Venue

第二报告厅

2^nd lecture room

邀请人

Host

李逸

Li, Yi

报告摘要

Abstract

In 1781, G. Monge raised the optimal transport problem from theengineering study. In 1940s, L. Kantorovich relaxed the Monge problem and applied his method to study the optimization problems in economics. In 1975, he was awarded the Nobel prize in economics. In 1992, Y. Brenier solved the Monge-Kantorovich optimal transport problem for quadratic cost function. Since then, the optimal transport problem has been intensively studied by many people, including the Fields medalists C. Villani and A. Figalli. On the other hand, entropy, which was introduced in the study of thermodynamics and statistical mechanics, has played very important role in kinetic theory, information theory, PDEs and geometric analysis. In 2012, G. Perelman introduced  the mysterious W-entropy for the Ricci flow and proved the non collapsing theorem. In this talk, we will briefly recall the history of the optimal transport problem, and present some recent results on the study of the optimal transport problem and the W-entropy. 

报告人简介

Xiangdong Li, Hua Loo Keng Chair Professor in   Applied Mathematics

at Academy of Mathematics and Systems Science,   Chinese Academy of Sciences, is an expert in Stochastic Analysis and   Stochastic Differential Geometry. He obtained his PhD from the   Institute of Applied Mathematics of CAS and the University of Lisbon in   1999. After being a Postdoctoral Researcher at the University of   Oxford 

during 2000-2003, he had worked as a Maitre de   Conference and obtained HDR (Habilitation a Diriger   de Rechercher) at the University Paul Sabatier in 2007. After one year Full   Professorship at Fudan University, he moved to AMSS CAS in 2009 as a   Hundred Talent 

Researcher and has worked there until now.