Quantitative topology of non-holonomic loop spaces
Event details
| Date | 22.10.2014 |
| Hour | 16:30 › 17:30 |
| Speaker | Antonio Lerario (Lyon) |
| Location |
GR A3 30
|
| Category | Conferences - Seminars |
Geometry and Dynamics Seminar
Abstract: Given two points on a sub-Riemannian manifold the nonholonomic path-space consists of all Lipschitz continuous horizontal curves joining them. The sub-Riemannian structure allows to define the energy of these curves (a function on the nonholomonic path space) and geodesics are critical points of this function. I will discuss some quantitative aspects of this picture both on the infinitesimal scale (on Carnot groups), on the local scale (using a blow-up procedure) and the global scale (generalizing a theorem of Serre).
Abstract: Given two points on a sub-Riemannian manifold the nonholonomic path-space consists of all Lipschitz continuous horizontal curves joining them. The sub-Riemannian structure allows to define the energy of these curves (a function on the nonholomonic path space) and geodesics are critical points of this function. I will discuss some quantitative aspects of this picture both on the infinitesimal scale (on Carnot groups), on the local scale (using a blow-up procedure) and the global scale (generalizing a theorem of Serre).
Practical information
- Expert
- Free
Organizer
- Sonja Hohloch