Vezzoni: A quantitative version of the Soap Bubble Theorem

Vezzoni: 
The celebrated Soap Bubble Theorem of Alexandrov asserts that round spheres are the only closed
constant mean curvature hypersurfaces embedded in the Euclidean space. The talk mainly focuses on
the following quantitive version of the theorem. The proof of the theorem, joint work with G.Ciraolo, makes use of a quantitive study of the method of the moving planes and the result implies a new pinching theorem for hypersurfaces in the Euclidean space. Furthermore, the
theorem is optimal in a sense that it will be specified in the talk.
The last part of the talk will be about an on-going study on the generalization of the result in space
forms or, more generally, in warped product spaces.
http://cvgmt.sns.it/seminar/618/

When	Fri Feb 2, 2018 9am – 10am Coordinated Universal Time
Where	Scuola Normale Superiore, Aula Mancini (map)