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Explore Birkhoff sections and Reeb dynamics on 3-dimensional contact manifolds in this conference talk delivered by Vincent Colin from UM France at the X Workshop on Conservative Dynamics and Symplectic Geometry. Delve into advanced mathematical concepts at the intersection of contact geometry and dynamical systems, examining how Birkhoff sections provide insights into the behavior of Reeb vector fields on three-dimensional contact manifolds. Learn about the geometric structures that govern conservative dynamical systems and their applications in symplectic topology. Discover the theoretical foundations and recent developments in this specialized area of mathematics, presented as part of a prestigious workshop celebrating 20 years of bringing together experts in conservative dynamics and symplectic geometry from Brazil and around the world. Gain exposure to cutting-edge research in contact geometry, symplectic topology, Hamiltonian dynamics, and related fields through this hour-long presentation hosted by the Instituto de Matemática Pura e Aplicada in Rio de Janeiro.
