A canonical infinitesimally Hilbertian structure on locally Minkowski spaces

Abstract: In this talk I will show the existence of a canonical, infinitesimal Hilbertian, equivalent distance on a locally Minkowski metric measure space. This rigidity assumption on the metric measure space essentially forces the structure to be locally similar to a Minkowski space and defines a class of metric measure structures which includes all the reversible Finsler manifolds, and it is actually strictly larger. The desired distance will be obtained as the intrinsic distance associated to the so-called Korevaar-Schoen energy, which is indeed a quadratic form on the space of L2 functions on a locally Minkowski space. This is a joint work with Chiara Rigoni.

Il seminario si terrà in presenza, chi fosse interessato a partecipare deve scrivere a classi@sns.it entro le 10:00 di Martedì 5 aprile 2022.