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Project

Modern symplectic geometry in integrable Hamiltonian dynamical systems.

This research project studies aspects of interactions between integrable Hamiltonian systems and modern symplectic geometry: The symplectic classification in the sense of Pelayo & Vu Ngoc's is completed for two seminal examples of semitoric systems, namely the coupled spin oscillator and coupled angular momenta. In addition, more general families are studied and partially classified.
Date:1 Oct 2015 →  30 Sep 2019
Keywords:SYMPLECTIC GEOMETRY, FLOER HOMOLOGY, INTEGRABLE HAMILTONIAN SYSTEMS, DYNAMICAL SYSTEMS
Disciplines:Analysis, Applied mathematics in specific fields, General mathematics, History and foundations, Other mathematical sciences and statistics