Valentino Magnani (University of Pisa)
Blow-up and transverse mass of submanifolds in the Heisenberg group
Abstract.
Aim of this talk is to present an explicit formula for the spherical Hausdorff measure of submanifolds of arbitrary dimension in the Heisenberg group. This formula is obtained by a blow-up procedure with respect to the anisotropic dilations of the group and it suggests a privileged class of left invariant forms in the Heisenberg group. These forms allow us to introduce a reasonable notion of mass for currents in the Heisenberg group, which fits the well known theory in codimension one. A discussion of this notion and some remarks are added.

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