Seminario Dottorato: Isoperimetric Inequality: an invitation

Wednesday 21 March 2012 - Francescopaolo Montefalcone

ARGOMENTI: Seminari Dottorato

Wednesday 21 March 2012 h. 15:00, room 2BC30
Francescopaolo Montefalcone (Dip. Mat.)
"Isoperimetric Inequality: an invitation"

In this talk, I will survey some classical topics concerning isoperimetric inequalities in the Euclidean space. In particular, I will discuss the main ideas behind an isoperimetric inequality for the case of compact smooth hypersurfaces, proved in the Seventies by Michael and Simon. Finally, in the last part of the talk I will quickly state a recent generalization of this inequality to the sub-Riemannian setting of Carnot groups.

Rif. int. C. Marastoni, T. Vargiolu

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