Inverse mean curvature flow and scalar curvature in low regularity

I’ll present recent results and works in progress involving the inverse mean curvature flow in 3-manifolds endowed with metrics
of nonnegative scalar curvature. I’ll discuss applications to quasilocal and global mass lower bounds, that will be shown to be stable under uniform limits of the metric tensor. Finally, I will touch upon refined results in progress on the well posedness of the inverse mean curvature flow in such limit spaces, together with applications.
The talk is based on joint works and projects with Antonelli, Benatti, Gatti, Mazzieri, Nardulli, Pluda and Pozzetta.