A quantitative condition for right-handedness of dynamically convex Reeb flows
报告题目(Title)：A quantitative condition for right-handedness of dynamically convex Reeb flows
报告人(Speaker)：Prof. Anna Florio （Universite Paris Dauphine）
地点(Place)：ZOOM Meeting ID：89210201962, 密码：123456
时间(Time)：2021 年 10 月 29 日（周五） 15:00--16:00
邀请人(Inviter)：苏喜锋
报告摘要
In a joint work with Umberto Hryniewicz (RWTH Aachen), we give a numerical condition for right-handedness of a dynamically convex Reeb flow on $S^3$. Introduced by Ghys, a flow is right-handed if, roughly speaking, all pairs of trajectories link positively. In particular, Ghys proved that any finite collection of periodic orbits of a right.handed flow binds an open book whose pages are global surfaces of section. As an application, we show that if a Riemannian metric on $S^2$ is $\delta$-pinched for some $\delta\geq 0.7225$, then its geodesic flow lifts to a right-handed flow on $S^3$.
