Geometric Structures seminar - Luca Nalon (Fribourg) - Tue Mar 18 - 14.00 - Room 136 and Zoom

[Luca Rizzi]

Dear All,

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

Date and venue: Tue Mar 18 - 14.00 - Room 136 and Zoom

Zoom link: https://sissa-it.zoom.us/j/84104566238?pwd=ZZELtHpsScpIuHu5EcCuhvGU19fLHi.1

Speaker: Luca Nalon (Fribourg)

Title: Asymptotic sub-Riemannian distances in 2-step nilpotent Lie groups

Abstract: We are interested in the large-scale geometric properties of Riemannian and sub-Riemannian metrics in 2-step nilpotent Lie groups. Given two left-invariant sub-Riemannian metrics $d_1$ and $d_2$ on a simply connected, 2-step nilpotent Lie group, we provide a characterization of the following properties in terms of the underlying sub-Riemannian structure:

1) $d_1$ and $d_2$ are at bounded distance as functions from $G \times G$ to $\mathbb{R}$,

2) $d_1^2$ and $d_2^2$ are at bounded distance as functions from $G \times G$ to $\mathbb{R}$.

This characterization is based on a novel tecnique we developed to perturb horizontal curves in order to displace their end-points in a prescribed vertical direction. This talk is based on a joint work with E. Le Donne, S. Nicolussi Golo, and S-Y Ryoo.

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

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