Starts 13 Feb 2018 16:00
Ends 13 Feb 2018 17:00
Central European Time
ICTP
Leonardo Building - Luigi Stasi Seminar Room
Abstract: Estimates in geometric terms of the capacity of compact sets are of great interesting and appears naturally both in Geometry and Physics (e.g., in electrostatic and physical descriptions of flows where Laplace equations is used). I will discuss about capacity inequalities involving the total mean curvature of hypersurfaces with boundary in convex cones and the mass of asymptotically flat manifolds with non-compact boundary.  In fact, I will present analogous of Pölia-Szegö, Alexandrov-Fenchel and Penrose type inequalities in this setting.