Trying to quantify Gromov's non-squeezing theorem

Abstract: Gromov's celebrated result says (colloquially) that one cannot symplectically embed a ball of radius 1.1 into a cylinder of radius 1. I will show that in 4d if one removes from this ball a Lagrangian plane passing through the origin, then such an embedding becomes possible. I will also show that this gives the smallest Minkowski dimension of a closed subset with this property. I will end with many questions. This is based on joint work with K. Sackel, A. Song and J. Zhu.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

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