Date: Wed. September 15, 2021
Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)
Title: Geodesics and Laplace spectrum on 3D contact sub-Riemannian manifolds: the Reeb flow

Speaker: Prof. Dr. Yves Colin de Verdière
Affiliation: Université Grenoble Alpes (France)

Abstract. 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.

Joint work with Luc Hillairet (Orléans) and Emmanuel Trélat (Paris).

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