Seminar第1929期 The dual Minkowski problem

创建时间:  2019/10/10  谭福平   浏览次数:   返回

报告主题:The dual Minkowski problem
报告人:Professor Martin Henk( Technische Universität Berlin)
报告时间:2019年10月14日(周一)9:00
报告地点:校本部G507
邀请人:冷岗松 席东盟

报告摘要: 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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