题目：Bridges from Convex Geometry to Elliptic PDE's

报告人：Prof. Andrea Colesanti（Università degli Studi di Firenze）

地点：致远楼101室

时间：2026年6月4日 星期四 09：00-09：45

Abstract：The overall goal of the talk is to describe some striking analogies between classical results in convex geometry, and corresponding facts in the field of elliptic PDE's. I will start by recalling the Brunn-Minkowski inequality, the variational formula for the volume and the Minkowski problem in convex geometry. Then I will describe the corresponding results in the PDE's area, when the volume is replaced by well known functionals of the Calculus of Variations, which can be defined through an elliptic boundary value problem. In the final part of the talk I will speak about the corresponding situation in the Gauss space, mentioning some recent results and open problems.

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