UMR 5582 - Laboratoire de mathématiques
Published on UMR 5582 - Laboratoire de mathématiques (https://www-fourier.univ-grenoble-alpes.fr)

Accueil > Simon Allais

Simon Allais [1]

Generating functions and symplectic rigidity phenomena
Mercredi, 13 Février, 2019 - 17:00 à 18:00
Résumé : 

In 1992,Viterbo introduced new means to study the Hamiltonian dynamics of $\mathbb R^{2n}$ by applying Morse-theoretical methods to generating functions. Among his results, he gave a new proof of Gromov's non-squeezing theorem (1985) and sketched a proof of the more subtle symplectic camel theorem. A part of this work was generalized to the contact case by Sandon (2011) who provided a new way to derive the contact non-squeezing theorem of Eliashberg, Kim and Polterovich (2006). We will recall the main points of this theory and show how it allows us to derive a proof of the symplectic camel theorem which can easily be extended to the compact case.

Institution de l'oratrice / orateur: 
Ens Lyon
Thème de recherche : 
Compréhensible
Salle : 
4

Source URL: https://www-fourier.univ-grenoble-alpes.fr/?q=fr/content/simon-allais

Liens
[1] https://www-fourier.univ-grenoble-alpes.fr/?q=fr/content/simon-allais