Aula Magna (Dip. Matematica Applicata).
I will discuss how geometric inequalities and splitting results on complete Riemannian manifolds with nonnegative Ricci curvature can be provided by employing suitable monotone quantities along the flow of capacitary and p-capacitary potentials, as well as through related boundary value problems. The main results described will be (i) a Willmore-type inequality on manifolds with nonnegative Ricci curvature; (ii) enhanced Kasue-Croke-Kleiner splitting theorems; (iii) a generalised Minkowski-type inequality in asymptotically conical Riemannian manifolds. The seminar is scheduled both in person and online. In order to fulfill the terms of the pandemic protocol, and arrange properly the event, we need to know in advance names and e-mails of those interested in joining the seminar in person or online. Hence if you plan to join the seminar, please fill in the form below https://forms.gle/51iwqSW7Acg61M9o9 before October 6th (morning). Further information and instructions will be sent afterwards to the attendees in person and to the online audience.