Differential Geometry Working Seminar

Kain Dineen, University of Waterloo

Gromov's non-squeezing theorem

I will discuss Gromov's non-squeezing theorem. We will prove the affine version of the theorem and discuss a potential generalization of it for maps preserving some power of the symplectic form. We will then discuss the general non-squeezing theorem and, as an application, prove the classical rigidity result that the symplectomorphism group of any symplectic manifold is (C^0)-closed in the diffeomorphism group.

MC 5479