cvgmt Seminarshttp://cvgmt.sns.it/seminars/en-usSun, 18 Nov 2018 02:22:18 +0000Dirac-harmonic maps and "supersymmetric" nonlinear sigma modelshttp://cvgmt.sns.it/seminar/666/2018-11-21: R. Wu.<p>In these models we deal with coupled pairs consisting of a map betweenmanifolds and a spinorial field along this map. Originated fromsupersymmetric sigma models and supermanifold theory, they arerecently analysed using the tools in nonlinear analysis. TheEuler-Lagrangian system contains both a second order(Laplacian type)and a first order (Dirac type) elliptic equations. Some basicproperties will be given as well as some example of the Dirac-harmonicmaps.</p>http://cvgmt.sns.it/seminar/666/On the 1/H flow via p-Laplace approximation under Ricci lower boundshttp://cvgmt.sns.it/seminar/665/2018-11-21: <a href="/person/2061/">L. Mari</a>.<p>In this talk, we consider the existence problem for weak solutions ofthe Inverse Mean Curvature Flow on a complete manifold with only aRicci lower bound. Solutions either issue from a point or from theboundary of a relatively compact open set. To prove their existence inthe sense of Huisken-Ilmanen, we follow the strategy pioneered by J.Moser that uses approximation by p-Laplacian kernels. In particular,we prove new and sharp gradient estimates for the kernel of thep-Laplacian on M via the study of the fake distance associated to it.We address the compactness of the flowing hypersurfaces, and timepermitting some monotonicity formulas in the spirit of Geroch's one.This is joint work with M. Rigoli and A.G. Setti.</p>http://cvgmt.sns.it/seminar/665/