Abstract：

The Brascamp-Lieb inequalities are deep and beautiful inequalities on Euclidean spaces introduced by Brascamp and Lieb in 1976. They cover many fundamental and important inequalities such as Hölder's inequality, the Loomis-Whitney inequality, Young's inequality, etc. In this talk we give a short introduction to the Brascamp-Lieb inequalities and their applications. We prove one type of the Brascamp-Lieb inequalities, and discuss some open problems regarding their uses in quantum symmetry.

Speaker Profile:

Jinsong Wu, currently a Research fellow at Yanqi Lake Beijing Institute of Mathematical Sciences and Applications. He earned his Bachelor degree in the School of Mathematical Sciences, Peking University, and Ph.D degree in Academy of Mathematics and Systems Science, Chinese Academy of Sciences. He worked in University of Sciences and Technology of China as an assistant professor and Harbin Institute of Technology as a professor.

His main research areas are

He hosted and participated in several National Natural Science Fundation of China programs. His research results have been published on PNAS, Adv Math, Comm Math Phys, J Func Anal, Sci China Math ect.