Theoretical and Mathematical Physics

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WP26 Symplectic Geometry I (MD1)

This module deals with symplectic and Poisson manifolds, Hamiltonian systems, symmetries und moment map, symplectic reduction, integrable systems, toric manifolds, Duistermaat-Heckmann theorem. The main goals of this module are the understanding of the mathematical structures arising in classical mechanics, both from the physical and mathematical perspective, and the foundations of modern symplectic geometry.
  • SS
  • 9ECTS