Existence of Birkhoff Sections for 3 Dimensional Reeb Vector Field

Explore the existence of Birkhoff sections for 3-dimensional Reeb vector fields in this 42-minute conference talk delivered at the 8th Brazilian School of Dynamical Systems. Learn advanced concepts in dynamical systems theory as presented by Ana Rechtman from Institut Fourier, France, focusing on the mathematical structures and properties of Birkhoff sections within the context of three-dimensional Reeb flows. Delve into sophisticated mathematical analysis that bridges differential geometry and dynamical systems, examining how these sections provide crucial tools for understanding the behavior of vector fields on contact manifolds. Gain insights into cutting-edge research in dynamical systems theory through rigorous mathematical exposition suitable for postgraduate students and researchers in mathematics, particularly those specializing in dynamical systems, ergodic theory, differential geometry, and related fields.