Systolic inequalities for S1-invariant contact formsMPIM

by Simon Vialaret (Paris-Saclay)

Thursday May 8, 2025, 12:45 PM → 1:45 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

Bonn Symplectic Geometry Seminar

In contact geometry, a systolic inequality is a uniform upper bound on  the shortest period of a periodic Reeb orbit for contact forms with  fixed volume on a given manifold. This generalizes a well-studied notion  in Riemannian geometry. While it is known that no systolic inequality  holds for all contact forms on a given contact manifold, I will present a systolic inequality for contact forms that are invariant under a  circle action in dimension three.