学术报告

The Dual Minkowski Problem 

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题目:The Dual Minkowski Problem 
报告人:Prof. Martin Henk (TU Berlin)
地点:致远楼 101 室
时间:2019 年 10 月09 日 10:00-11:00
摘要: The (classical) Minkowski problem asked for sufficient and necessary conditions such that a finite Borel measure on the sphere is the surface area measure of a convex body.  Its solution, based on works by Minkowski, Aleksandrov and Fenchel & Jessen, is one of the centerpieces of the classical Brunn-Minkowski theory.
There are two far-reaching extensions of the classical Brunn-Minkowski theory, the Lp-Brunn-Minkowski theory and the dual Brunn-Minkowskitheory. In the talk we will discuss the analog of the (classical) Minkowski problem within the dual Brunn-Minkowski theory, i.e., the characterization problem of the dual curvature measures of a convex body. These measures were recently introduced by Huang, Lutwak, Yang and Zhang and they are the counterparts to the area measures within the dual theory. 

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