Geodesics and Laplace spectrum on 3D contact sub-Riemannian manifolds: the Reeb flow. (Y. Colin de Verdière, Universite de Gronoble)

Sep 15
15-09-2021 11:30 Uhr bis 12:30 Uhr
online

Geodesics and Laplace spectrum on 3D contact sub-Riemannian manifolds: the Reeb flow.

Speaker:Prof. Dr. Yves Colin de Verdière
Affiliation: Universite de Gronoble, France, Website

Zoom link
Meeting ID:676 5769 0526 , Passcode: 166580

Abstract:
Joint work with Luc Hillairet (Orléans) and Emmanuel Trélat (Paris).
A 3D closed manifold with a contact distribution and a metric on it carries a canonical contact form. The associated Reeb flow plays a central role for the
asymptotics of the geodesics and for the spectral asymptotics of the Laplace operator. I plan to describe it using some Birkhoff normal forms.

https://en.www.math.fau.de/applied-analysis/

Friedrich-Alexander-Universität Erlangen-Nürnberg