國立清華大學 數學系

Abstract:
Can we reconstruct a convex surface from its curvature? This question leads to the classical Minkowski problem, which provides a beautiful example of how partial differential equations (PDEs) can be used to solve geometric problems.

The goal of this talk is to give students an accessible introduction to how PDE techniques can be applied to geometric questions. We will explain how the Minkowski problem can be translated into a fully nonlinear PDE and introduce some key PDE techniques. If time permits, we will discuss some related problems and open questions.