Symplectic rigidity and quantum mechanics

  • Leonid Polterovich

    Tel-Aviv University, Israel
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I present new links between Symplectic Topology and Quantum Mechanics which have been discovered in the framework of function theory on symplectic manifolds. Recent advances in this emerging theory highlight some rigidity features of the Poisson bracket, a fundamental operation governing the mathematical model of Classical Mechanics. Unexpectedly, the intuition behind this rigidity comes from Quantum Mechanics.