Symplectic Geometry and Physics
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Description: Research program at the Institute for Pure and Applied Mathematics (IPAM), UCLA, CA, USA. 17 March -- 13 June 2003.
IPAM - Symplectic Geometry and Physics Symplectic Geometry and Physics Denis Auroux (Ecole Polytechnique) Simon Donaldson (Imperial College) Symplectic geometry originated as a mathematical outgrowth of Hamiltonian mechanics and dynamical systems and their applications to the theory of elementary particles, oceanographic and atmospheric sciences, condensed matter, accelerator and plasma physics and other disciplines at the classical and quantum levels. Ideally, a good mathematical model for the very complex systems listed above should describe the global information regarding the phase structure by means of relevant parameters rather than describing the existence of a specific solution of the equations of motion. A suitable mathematical framework, reflecting the complexity of these real world problems was pioneered in the works of Arnold, Gromov, Zehnder (and the whole Bochum school) and Eliashberg.
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| Date | activated: 24-Apr-1985 last updated: 02-May-2011 expires: 31-Jul-2014 |