TITLE: On the anisotropic Minkowski content of a set

ABSTRACT: In this seminar first of all I will introduce the anisotropic version of the classical notion of Minkowski content of a set, which plays an important role in stochastic geometry and in imaging problems. I will sketch the proof of the explicit formula for the anisotropic Minkowski content, which has been recently obtained in a joint work with A. Chambolle and S. Lisini, and then I will discuss some possible developments.