Topic：The Orlicz-Minkowski Problem for Polytopes
Lecturer: Jiang Meiyue, School of Mathematical Science， Peking University
Time: May 4th 2017, 10:00-11:00 AM
Add: Lecture Hall, Math Building, New Campus
Nonlinear, Hamilton system and Critical group theory
The Orlicz-Minkowski problem for polytopes can be stated as follows: Given a function ?: (0,∞)→(0,∞). Let μ is a finite Borel measure on S^(n-1), which is not supported on a closed hemi-sphere, find a convex body K such that c ?(h_K)dS_K=dμ for some constant c>0, that is, for any Borel ω?S^(n-1), there holds c∫_ω?(h_K)dS_K=μ(ω). In this talk we will present some results for μ=∑a_iδ(u_i). The results are based on a joint work with Chu Wang.