6 Nov 2025

Leo Brauner (Uni Frankfurt)

14:00 h

Abstract: In this talk, I will first define mixed area measures: these are fundamental geometric measures encoding joint information about curvature of a family of convex bodies (including also the classical Gauss and mean curvature). Then we discuss the central Minkowski and Christoffel problem, as well as their intermediate and mixed versions, which are about classifying mixed area measures. In the special case where the convex bodies involved share an axial symmetry, we resolve the problem completely.
This is joint work with Georg C. Hofstätter and Oscar Ortega-Moreno.