Dual Orlicz-Brunn-Minkowski theory
报告题目(Title)：Dual Orlicz-Brunn-Minkowski theory
报告人(Speaker)：朱保成 (湖北民族大学)
地点(Place)：后主楼1129
时间(Time)：2019年6月13日 10:00-11:00
邀请人(Inviter)：彦文娇
报告摘要
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).
