Geometric Structures seminar - Alessandro Socionovo - Thu Feb 6, 14:00 - Room 005

[Luca Rizzi]

Dear All,

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

Date and venue:  Thu Feb 6, 14:00 - Room 005

Speaker: Alessandro Socionovo (Sorbonne Universitè)

Title: Non-smooth sub-Riemannian length minimizing curves

Abstract: We present the first examples of nonsmooth sub-Riemannian length minimizing curves. The length minimizer with the lowest regularity within these examples is of class $C^2\setminus C^3$. The singularity is at a boundary point. The result is sharp in the sense that we can prove that, within these examples, it is not possible to find a minimizer of class $C^1\setminus C^2$. This is an ongoing research project with Y. Chitour, F. Jean, R. Monti, L. Rifford, L. Sacchelli, and M. Sigalotti.

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

​​Luca Rizzi
SISSA (Trieste)
https://rizzilu.perso.math.cnrs.fr/