Penn State Mark
Department of Mathematics
Topology/Geometry Seminar
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Thursday, September 30, 2004
5:00-6:00pm, 115 Osmond (UP)

Chris Saunders
Penn State University

Gromov's Non-Squeezing Theorem

Abstract: Gromov showed that a ball cannot be symplectically embedded into an infinite cylinder unless the cylinder has greater radius than the ball. This is in sharp contrast to the volume preserving case, in which the ball can be squeezed into any size cylinder. In this talk, I will sketch the ideas contained in the proof of this claim, using the facts about $J$-holomorphic curves developed in the previous talk.

 

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