报告题目：On the general dual-polar Orlicz-Minkowski problems
报告人：叶德平（纽芬兰纪念大学）
时间：2019年10月28日（周一）下午15:00-16:00
地点：203
摘要：The Blaschke-Santalo inequality is arguably one of the most important affine isoperimetric inequalities. There are many proofs for the Blaschke-Santalo inequality such as using the Steiner symmetrization, however it originally was established by the combination of three important results in convex geometry: the Minkowski inequality, the affine isoperimetric inequality for the affine surface area, and the solution to the Minkowski problem. This shows an unbelievable beautiful connection between the Minkowski problem and the affine surface area.

In this talk, I will present another connection between the $L_p$ Minkowski problems and the $L_p$ affine surface areas. This new connection leads us to investigate the general dual-polar Orlicz-Minkowski problems. Motivations of the general dual-polar Orlicz-Minkowski problems will be explained and solutions will be given.