Convexity Seminar

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A problem concerning mixed area measures of convex bodies

Speaker: Andrea Colesanti, University of Florence

Location: Warren Weaver Hall 1314

Date: Thursday, April 24, 2025, 1 p.m.

Synopsis:

We will start by briefly reviewing the notions of mixed volumes and mixed area measures of convex bodies. Then we will describe two important problems related to area measures: the Minkowski and the Christoffel problems (along with their intermediate version, the Christoffel-Minkowski problem). We will then pass to a similar problem concerning mixed area measures, and present some new existence results. The talk refers to an ongoing collaboration with Matteo Focardi, Pengfei Guan and Paolo Salani.