Title: On the general dual Orlicz-Minkowski problems
Speaker: Prof. Deping Ye (Memorial University of Newfoundland, Canada)
Time: 2019-10-14 (Monday) 10:00
Inviter: Gangsong Leng, Dongmeng Xi
Abstract: The classical Minkowski problem aiming to characterize the surface area measure of convex bodies plays essential roles in the development of the Brunn-Minkowski theory of convex bodies. For instance, the solutions to the classical Minkowski problem results in two fundamental inequalities: the celebrating Blaschke-Santalo and the affine Sobolev inequalities. In this talk, I will present our recent contributions on the general dual Orlicz-Minkowski problems, which is motivated by the recent groundbreaking dual Lp Minkowski problems initiated by Huang, Lutwak, Yang and Zhang. Our Minkowski problems are arguably the most general extensions of the Minkowski problem. I will provide detailed explanation how we develop our Minkowski problems and our solutions to the general dual Orlicz-Minkowski problems.