University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Trying to quantify Gromov's non-squeezing theorem

Trying to quantify Gromov's non-squeezing theorem

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  • UserUmut Varolgunes, Edinburgh
  • ClockWednesday 27 October 2021, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

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.

This talk is part of the Differential Geometry and Topology Seminar series.

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