Symplectic Topology and Measure Preserving Dynamical Systems

Released on by Albert Fathi
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  • Symplectic Topology and Measure Preserving Dynamical Systems Book Detail

  • Author : Albert Fathi
  • Release Date : 2010-04-09
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 192
  • ISBN 13 : 0821848925
  • File Size : 56,56 MB
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Symplectic Topology and Measure Preserving Dynamical Systems by Albert Fathi PDF Summary

Book Description: The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference on Symplectic Topology and Measure Preserving Dynamical Systems held in Snowbird, Utah in July 2007. The aim of the conference was to bring together specialists of symplectic topology and of measure preserving dynamics to try to connect these two subjects. One of the motivating conjectures at the interface of these two fields is the question of whether the group of area preserving homeomorphisms of the 2-disc is or is not simple. For diffeomorphisms it was known that the kernel of the Calabi invariant is a normal proper subgroup, so the group of area preserving diffeomorphisms is not simple. Most articles are related to understanding these and related questions in the framework of modern symplectic topology.

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