Seminar

Stratified spaces are singular metric spaces which have been introduced in topology, and then studied from an analytical point of view. They naturally appear in differential geometry as quotients or limits of smooth manifolds. In this talk I will briefly introduce the geometry of stratified spaces with the aim of illustrating the recent developments in the resolution of the Yamabe problem for this singular setting. In order to do this, I will show how some classical results of Riemannian geometry can be recovered by singular theorems for stratified spaces.