报告题目：Measure Equations, Optimization Problems and PDEs in Convex Geometry

报告人：张高勇教授 (Courant Institute of Mathematical Sciences，NYU)

时间：2024年10月31日（周四）上午10:00-11:00

地点：理科楼A304

报告摘要：Finding unknown convex geometric objects from their prescribed measurements went back to Minkowski in the 1890s and Aleksandrov and Fenchel in the 1930s. The geometric problems are called Minkowski problems, which require to solve equations of convex geometric measures. The smooth cases of such measure equations are fully nonlinear partial differential equations. Convex geometric optimization problems and variational methods are designed to study these measure equations. There have been revolutionary studies in recent years and a theory of convex geometric measures is emerging. This talk explains the measure equations, optimization problems and PDEs.

报告人简介：

张高勇教授现为纽约大学库朗(Courant)数学研究所教授，美国数学会会士。张高勇教授的主要研究方向是凸几何与几何分析，在几何不等式和几何测度论方面做出了一系列杰出的工作，部分工作发表在Acta Math.、Ann. Math.、JAMS、CPAM、Duke Math. J.等国际著名期刊上。

邀请人：李海中， 马辉， 陈大广