PROGRAM

All the talks take place in room 3-E4-SR03

9:30 Coffee

10:00 - 11:00

Elena Giorgi - Columbia University

Title: The nonlinear stability of black holes: an overview
Abstract: Black holes are the most striking predictions of General Relativity and are by now understood to be fundamental objects in our universe. In this talk, I will provide an overview of their mathematical properties, in particular concerning their stability as solutions to the Einstein equation, and give a bird’s-eye view of the recent proof of the nonlinear stability of the slowly rotating Kerr black holes (joint with Klainerman-Szeftel). 

11:15 - 12:15

Costante Bellettini - University College London

Title: PDE analysis on stable minimal hypersurfaces: curvature estimates and sheeting
Abstract: We consider properly immersed two-sided stable minimal hypersurfaces of dimension n. We illustrate the validity of curvature estimates for n \leq 6 (and associated Bernstein-type properties with an extrinsic area growth assumption). For n \geq 7 we illustrate sheeting results around "flat points". The proof relies on PDE analysis. The results extend respectively the analogous Schoen-Simon-Yau estimates (obtained for n \leq 5) and the Schoen-Simon sheeting theorem (valid for embeddings).

Lunch Break

14:00 - 15:00

Alberto Roncoroni - Politecnico di Milano

Title: On the stable Bernstein problem
Abstract: Click HERE

15:15 - 16:15

Luca Spolaor - UCSD

Title: On the boundary branching set of the one-phase problem
Abstract: I will discuss the boundary regularity for minimizers of the so-called Alt-Caffarelli problem and how it is related to a boundary unique continuation problem. This is joint work with L. Ferreri (SNS) and Bozhidar Velichkov (Pisa).

16:30 Greetings

For further information please contact elisur.magrini@unibocconi.it