题目： Dual Orlicz-Brunn-Minkowski Theory

报告人：朱保成 教授 （湖北民族大学）

地点：致远楼101室

时间：2019年6月14日 19:00-20:00

摘要：The dual Brunn-Minkowski theory, initiated by Lutwak, provides powerful tools to solve the long-standing Busemann-Petty problem in the 1990's. Among those deep results, the dual Brunn-Minkowski and dual Minkowski inequalities are the most important.

In this talk, I will discuss the newly introduced dual Orlicz-Brunn-Minkowski theory, a nontrivial extension of the dual Brunn-Minkowski theory. In particular, I will talk about the dual Orlicz-Minkowski and dual Orlicz-Brunn-Minkowski inequalities. These inequalities are based on the Orlicz-addition of star bodies, and are thought to be the heart of the dual Orlicz-Brunn-Minkowski Theory. Finally, I will mention the Orlicz intersection bodies and the Orlicz-Busemann-Petty problem (an unsolved problem).

欢迎各位参加！