Séminaire de topologie, géométrie et algèbre

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Systolic questions in metric and symplectic geometry

Nom de l'orateur
Alberto Abbondandolo
Etablissement de l'orateur
Ruhr Universität Bochum
Lieu de l'exposé
visioconférence
Date et heure de l'exposé

The prototypical question in metric systolic geometry is to bound the length of a shortest closed geodesic on a closed Riemannian manifold by the volume of the manifold. This question has been extensively studied for non simply connected manifolds, but in the recent years there has been some progress also for simply connected manifolds, on which closed geodesics cannot be found simply by minimizing the length. This progress involves extending systolic questions to Reeb flows, a class of dynamical systems generalising geodesic flows.