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Applications of Symplectic Geometry

  1. Apr 27, 2010 #1
    I am a mathematics graduate student who is doing research in symplectic geometry (specifically symplectic toric orbifolds, symplectic reduction, Hamiltonian actions of tori in the symplectic category, etc). I often have tried to convince others of the importance of symplectic geometry, so I come here seeking some help. I know, of course, that the language of classical mechanics is really that of symplectic geometry. I've also heard tell that there is a branch of optics that uses the language and machinery of symplectic geometry. However, I am hoping to come up with a list of very specific (dare I say engineering'ish) applications. Can anyone suggest some very specific applications of symplectic geometry to physics and engineering? I would be grateful for any replies.

    Best,

    Dave
     
  2. jcsd
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