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

报告人：Prof. Gaoyong Zhang (New York University)

地点：致远楼101室

时间：2024年11月22日 14:30-15:30

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.

All are welcome!