Genericity of Birkhoff sections for Reeb flows in dimension three

Date: 2022-06-27

Time: 13:30 - 14:30

Zoom link: https://kva-se.zoom.us/j/9217561880

Speakers

Vincent Colin

Abstract

In a joint work with Dehornoy and Rechtman, we proved that in dimension 3 every nondegenerate Reeb flow has a supporting broken book decomposition. Together with Hryniewicz, we exploit this result to show that a generic Reeb vector field has a Birkhoff section. Similarly, we obtain that having positive topological entropy is a generic property.