Il giorno 3 febbraio alle ore 15, nella Sala Riunione, primo livello, il prof.

                                              Adriano Pisante

dell’Università di Roma La Sapienza, terrà un seminario dal titolo:

Abstract: We consider the inverse mean curvature flow (IMCF) in the Heisenberg group $(He^n, d_varepsilon)$, where $d_varepsilon$ is the distance associated to either $|⋅|_varepsilon, varepsilon>0$, the natural family of left-invariant Riemannian metrics, or with their sub-Riemannian counterparts for $varepsilon=0$. For $Ωsubseteq He^n$ an open set with smooth boundary  satisfying a uniform exterior gauge-ball condition and bounded complement, we show existence of a global weak IMCF of generalized hypersurfaces  which are level sets of a proper globally Lipschitz function with logarithmic growth at infinity. Here, both in the Riemannian and in the sub-Riemannian setting, we adopt the weak formulation introduced by Huisken and Ilmanen, following the approach due to Moser and based on the the link between IMCF and p-harmonic functions. The talk is based on a joint work with Eugenio Vecchi (University of Bologna.