Geometric Structures seminar - Eugenio Bellini - Thursday 16 Oct - 14:00 - Romm TBD

[Tommaso Rossi]

Dear All,

This is to announce the next seminar from the series "Geometric Structures".

Date and venue: Thursday 16 October - 14:00 - Room TBD

Speaker: Eugenio Bellini (University of Padua)

Title: Curvature measures and the sub-Riemannian Gauss-Bonnet Theorem

Abstract: It is not uncommon for curvature to concentrate at the 
singularities of geometric spaces. In this talk, we show how this 
phenomenon occurs for surfaces immersed in 3D contact sub-Riemannian 
manifolds. Adopting a measure-theoretic viewpoint on the Riemannian 
approximation scheme, we prove that the Gaussian curvature measure of 
such a surface is singular and supported on its isolated characteristic 
points. We identify natural geometric conditions under which this 
behavior occurs, namely when the surface admits characteristic points of 
finite order of degeneracy. This is a joint work with D. Barilari and A. 
Pinamonti.

More information can be found here: 
https://researchseminars.org/seminar/Geometric_Structures_SISSA