Speakers

Andrea Malchiodi
SNS Pisa
A positive mass theorem in CR geometry view abstract Andrea Malchiodi
A positive mass theorem in CR geometry
We consider a class of CR manifolds which are defined as asymptotically Heisenberg, and for these we give a notion of mass. From the solvability of the $\Box_b$ equation in a certain functional class ([Hsiao-Yung]), we prove positivity of the mass under the condition that the Webster curvature is positive and that the manifold is embeddable. We apply this result to the Yamabe problem for compact CR manifolds, assuming positivity of the Webster class and non-negativity of the Paneitz operator. This is joint work with J.H.Cheng and P.Yang.
Roberto Monti
Università di Padova
Recent results on the regularity of H-minimal surfaces view abstract Roberto Monti
Recent results on the regularity of H-minimal surfaces
We review some recent results on the regularity of H-minimal boundaries in the Heisenberg group: Lipschitz approximation, height estimate, and harmonic approximation. This is part of a joint research program with D. Vittone.
Manuel Ritoré
Universidad de Granada
MINI COURSE Variational formulas for the sub-Riemannian area in contact sub-Riemannian manifolds view abstract Manuel Ritoré
MINI COURSE Variational formulas for the sub-Riemannian area in contact sub-Riemannian manifolds
We derive variational formulas of the sub-Riemannian area in contact sub-Riemannian manifolds, introduce hypersurfaces with prescribed mean curvature, and discuss the regularity of C^1 surfaces (with prescribed mean curvature) in the 3-dimensional case.
The Bernstein problem for C^1 surface in H^1 view abstract Manuel Ritoré
The Bernstein problem for C^1 surface in H^1
We shall prove that an stable intrinsic graph of class C^1 in H^1 is a vertical plane. This is joint work with Matteo Galli.
Paul Yang
Princeton University
MINI COURSE Isoperimetric inequality in CR manifolds in 3-D view abstract Paul Yang
MINI COURSE Isoperimetric inequality in CR manifolds in 3-D
I plan to discuss the isoperimetric problem, in the Heisenberg space as well as CR 3-manifolds. I begin by reviewing the pseudohermitian geometry, the local geometry of a surface. The problem of Pansu. A new fourth order invariant called the Q-prime curvature, and its relation to the isoperimetric inequality. download notes
Isoperimetric inequality in CR manifolds in 3-D view abstract Paul Yang
Isoperimetric inequality in CR manifolds in 3-D
I plan to discuss the isoperimetric problem, in the Heisenberg space as well as CR 3-manifolds. I begin by reviewing the pseudohermitian geometry, the local geometry of a surface. The problem of Pansu. A new fourth order invariant called the Q-prime curvature, and its relation to the isoperimetric inequality. download notes