Birkhoff Sections for Periodic Orbits of Minimal Action

Explore Birkhoff sections for periodic orbits of minimal action in this 59-minute conference talk delivered by Alberto Abbondandolo from Ruhr University Bochum at the X Workshop on Conservative Dynamics and Symplectic Geometry. Delve into advanced concepts in symplectic topology and Hamiltonian dynamics as part of this special 20th anniversary edition of the workshop held at IMPA in Rio de Janeiro. Learn about the mathematical foundations connecting conservative dynamics with symplectic geometry, focusing specifically on the construction and properties of Birkhoff sections in the context of periodic orbits that minimize action functionals. Gain insights into cutting-edge research in this specialized area of mathematics that bridges dynamical systems theory with geometric analysis, presented within the broader context of topics including contact geometry, Lagrangian systems dynamics, twist maps, integrable systems, and Aubry-Mather theory.