Rencontres mathématiques à Sète.

Géométrie, topologie et dynamique en basses dimensions.

23 mai 2022 - 27 mai 2022

The Santaló point for the Holmes-Thompson boundary area.

Orateur

BALACHEFF, Florent

Résumé

We will present an analog of Santaló point for the area of the boundary of a convex body in a normed space, and explain why they exist in general, and under which conditions they are unique. We will also provide a characterization of such a point when the normed space is Minkowski. This is joint work with G.Solanes and K.Tzanev.