C^0 rigidity of the reduction for coisotropic manifolds

Date: 2022-06-28

Time: 09:45 - 10:45

Zoom link: https://kva-se.zoom.us/j/9217561880


Emmanuel Opshtein


Humilière-Leclerc-Seyffadini have proved that when a symplectic homeomorphism takes a coisotropic submanifold to a smooth object, the latter must also be co-isotropic. Moreover, the symplectic homeomorphism intertwines the characteristic foliations. The symplectic homeomorphism therefore defines a map on the reduction, whose investigation is the object of this talk. I will show several situations where the reduction map exhibit a non-squeezing property.