Maria Ntekoume (Concordia University)

TITLE / TITRE :

Symplectic non-squeezing for the KdV and fifth-order KdV equations

ABSTRACT /RESUME 

In this talk we prove that the first two members of the KdV hierarchy have the non-squeezing property, that is, they cannot map a ball in the symplectic space H^{-\frac{1}{2}} wholly inside a thinner cylinder. This is an infinite-dimensional analogue of Gromov's famous symplectic non-squeezing theorem. Our proof relies on an approximation scheme by finite-dimensional Hamiltonian systems that exploits the complete integrability of these equations.

Zoom Meeting :

https://us06web.zoom.us/j/85180040977?pwd=u4H9y8fJXH3S8kiKiCHUPSBaRL7QMg.1

ID of the meeting : 851 8004 0977

Password : 365199