Event
Maria Ntekoume (Concordia University)
Monday, April 15, 2024 16:30to17:30
Burnside Hall
Room 1104, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
TITLE / TITRE :
Symplectic non-squeezing for the KdV and fifth-order KdV equations
ABSTRACT /RESUME聽
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 :
ID of the meeting : 851 8004 0977
Password : 365199