Optimal Transport Problem and Entropy Power Inequality on Ricci Flows

Title: Optimal Transport Problem and Entropy Power Inequality on Ricci Flows

Speaker: Researcher Li Xiangdong, Institute of Mathematics and Systems Science, Chinese Academy of Sciences

Time: 3:30 PM on April 21, 2023

Location: 205, Building 2, Hainayuan, Zijingang Campus, Zhejiang University

Abstract: In 1781, French mathematician G Monge proposed the optimal transmission mapping problem from military engineering problems. In 1942, Soviet mathematician L Kantorovich proposed the optimal transmission plan problem and applied it to the study of the optimal allocation of national economic resources. In 1975, Kantorovich and T Koopmans shared the Nobel Prize in Economics. In 1992, French mathematician Y Brenier solved the optimal transfer mapping problem using the square of the distance function as the cost function based on previous work. At the two international conferences of mathematicians in 2010 and 2018, C Villani and A Figalli has successively won the Fields medal, and his award-winning work is related to the optimal transmission problem. In this report, we will first review the historical development and important landmark achievements of the optimal transmission problem; Finally, we will introduce the research work of the reporter and collaborators on the optimal transmission problem and the entropy power inequality on Ricci flows.

Brief introduction to the speaker: the main research fields include stochastic analysis, stochastic differential geometry, stochastic matrix, and optimal transmission theory. He graduated from Wuhan University with a bachelor's degree in 1990, and obtained a doctor's degree from the Institute of applied mathematics of the Chinese Academy of Sciences and the University of Lisbon in Portugal from 1994 to 1999. From 1999 to 2003, he successively engaged in postdoctoral research in the University of Lisbon and the University of Oxford. In 2003, he was granted the lifelong position of Maitre de Conference at the University of Toulouse in France. In 2007, he was awarded the Occupation a Diriger des Recherches at the University of Toulouse in France, From 2008 to 2009, he served as a professor at the School of Mathematical Sciences at Fudan University. Since 2009, he has successively served as a researcher of the Institute of Mathematics and Systems Science of the Chinese Academy of Sciences and the chief researcher of Hua Luogeng in applied mathematics. Since 2015, he has also served as a post professor in the University of the Chinese Academy of Sciences.

Contact person: Professor Su Zhonggen, suzhonggen@zju.edu.cn School of Mathematical Sciences