Convexity, dynamical convexity and contact forms with high systolic ratio

Vendredi 17 novembre 14:00-15:00 - Alberto Abbondandolo - Bochum

Résumé : An open conjecture of Viterbo implies that on the boundary of a smooth convex body in a 2n-dimensional symplectic vector space there is a closed characteristic such that the n-th power of its action does not exceed the symplectic volume of the body. I will discuss what is known about this conjecture, its implications, and the fact that the same statement is not true if the convexity assumption is replaced by a symplectically invariant notion known as dynamical convexity. The talk is based on some joint papers with B. Bramham, U. Hryniewicz and P. Salomão.

Lieu : Salle 121-123

Convexity, dynamical convexity and contact forms with high systolic ratio  Version PDF