Emanuele Spadaro and José Espinar
16:15 | Emanuele Spadaro (Leipzig) | Optimal regularity of three dimensional mass minimizing cones In this talk I will present the following regularity results in minimal surface theory: the singular points of a mass minimizing three dimensional cone in the Euclidean space are contained in at most finitely many half lines (joint with De Lellis and Spolaor). |
17:45 | José Espinar (Rio de Janeiro) | On a fully nonlinear version of the Min-Oo Conjecture In this talk, we prove that the Min-Oo's conjecture holds if we consider a compact connected locally conformally flat manifold with boundary such that the eigenvalues of the Schouten tensor satisfy a fully nonlinear elliptic inequality, and the mean curvature of the boundary is controled bellow by the mean curvature of a geodesic ball in the standard unit-sphere. This is a joint work with E. Barbosa and M.P. Cavalcante. |