On the Hofer-Wysocki-Zehnder Conjecture for Reeb Flows on the Tight 3 Sphere

Watch this conference talk by Umberto Hryniewicz from RWTH Aachen University, delivered at the X Workshop on Conservative Dynamics and Symplectic Geometry at IMPA in Rio de Janeiro. Explore the Hofer-Wysocki-Zehnder conjecture for Reeb flows on the tight 3-sphere, a fundamental problem in contact geometry and symplectic topology. Learn about the mathematical connections between conservative dynamics and symplectic geometry through this specialized presentation that addresses one of the important open questions in the field. Gain insights into the geometric and dynamical properties of Reeb flows, their relationship to contact structures on 3-dimensional spheres, and the theoretical framework surrounding the HWZ conjecture. This talk is part of a special 20th anniversary edition of the workshop series that brings together international experts in symplectic topology, Hamiltonian dynamics, contact geometry, and related areas of mathematical research.