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Watch a lecture by Alberto Abbondandolo from Bochum University on "Systolic Inequalities in Reeb Dynamics" presented at the "Systolic and Diastolic Geometry" event held at IMPA (Instituto de Matemática Pura e Aplicada) in Rio de Janeiro. This one-hour lecture explores geometric comparison problems between the volume of a space and the length/area of curves/surfaces it contains. The event brought together specialists from different mathematical fields to discuss state-of-the-art research on key conjectures in Geometric Analysis and Symplectic Geometry, including topics like periodic orbits in convex billiards, geodesics on spheres, and Laplacian eigenvalue problems. The lecture is part of a broader program featuring international speakers addressing various aspects of systolic and diastolic geometry, with the goal of inspiring innovative techniques to solve fundamental problems in these fields.
