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Watch this 54-minute lecture by Yaron Ostrover from Tel Aviv University titled "The Toda lattice and symplectic balls," presented at the "Systolic and Diastolic Geometry" event hosted by the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro. The lecture explores connections between geometric problems comparing volumes of spaces with lengths/areas of curves/surfaces they contain. Part of a broader event featuring international speakers discussing topics in Geometric Analysis and Symplectic Geometry, this talk specifically examines relationships between the Toda lattice and symplectic structures. The event brought together specialists from different mathematical fields to advance research on fundamental problems involving systolic inequalities, minimal surfaces, and related geometric concepts.
