几何分析讨论班第五次

题目:  John ellipsoid, affine isoperimetric inequality and convex geometry

报告人:  熊 革 （同济大学）

时间：4月23日（周一） 10:30-11:30

地点：工商楼4楼报告厅
 

摘要：It is known that there exists a unique ellipsoid of maximal volume inside a convex body (a compact convex set with non-empty interiors) in R^n. This ellipsoid is called John ellipsoid (named after mathematician Fritz John), and has many applications in convex geometry, functional analysis, and optimizations. Particularly, that combining the isotropic characterization of John ellipsoid with the celebrated Brascamp-Lieb inequality in real analysis, plays a major role to attack reverse isoperimetric problem. 

In this talk, we will first briefly survey the discipline of convex geometry. Then, the classical John ellipsoid and its applications to affine isoperimetric inequalities will be discussed. With these background material and basic facts in hand, we will introduce our own work on (reverse) affine isoperimetric inequality, which include several papers already published or submitted recently. 

联系人：王枫（wfmath@zju.edu.cn）

欢迎广大师生参加！