Systolic inequalities for S¹-invariant contact forms in dimension 3

par Simon Vialaret (ENS Paris-Saclay)

vendredi 13 déc. 2024, 11:15 → 12:15 Europe/Paris

In contact geometry, a systolic inequality aims to give 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. It is known that there is no systolic inequality valid for all contact forms on any given contact manifold. In this talk, I will state a systolic inequality for contact forms that are invariant under a circle action in dimension three.