Title: Dual curvature measures and the dual Minkowski problem
Speaker: Yiming Zhao (Adjunct Instructor, New York University)
Abstract: In this talk, dual curvature measures (see [Huang, Lutwak, Yang, Zhang; ACTA, 2016]) in the dual Brunn-Minkowski theory will be introduced. It will be explained how they are “dual” to (Federer’s) curvature measures in the classical Brunn-Minkowski theory. Solutions (via the variational method) to different cases of the characterization problem to dual curvature measures—called the dual Minkowski problem—will be presented.