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Explore abstract Floer theory in this 51-minute conference lecture delivered by Urs Frauenfelder from the University of Augsburg at the X Workshop on Conservative Dynamics and Symplectic Geometry. Delve into advanced mathematical concepts within the framework of symplectic topology and its applications to Hamiltonian dynamics. Learn about the theoretical foundations and applications of Floer theory, a powerful tool in modern symplectic geometry that connects topology and dynamics. Gain insights from this specialized presentation given at the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, Brazil, as part of a prestigious workshop celebrating 20 years of bringing together international experts in conservative dynamics and symplectic geometry. Discover how abstract Floer theory contributes to understanding Hamiltonian systems, contact geometry, Lagrangian dynamics, twist maps, integrable systems, and Aubry-Mather theory through this research-level mathematical exposition.
