Various Alexandrov-Fenchel type inequalities have appeared and played important roles in convex geometry, matrix theory and complex algebraic geometry. It has been noticed for some time that they share some striking analogies and have intimate relationships. In this talk we will shed new light on this by comparatively investigating them in several aspects.
Profssor Ping Li got his Ph.D. from Peking University and is now a full professor in Tongji University. His main research interest lies in topology and differential geometry. He was awarded the National Science Fund for Excellent Young Scholars (优青) this year.