Zoll Families and Isosystolic Inequalities

Watch this short talk by Luciano Luzzi Junior from the University of Trento on "Zoll families and Isosystolic Inequalities" presented at the Systolic and Diastolic Geometry event held at IMPA (Instituto de Matemática Pura e Aplicada) in Rio de Janeiro. The 28-minute presentation explores mathematical problems comparing the volume of a space with the length/area of curves/surfaces it contains, focusing specifically on Zoll families and their relationship to isosystolic inequalities. This talk was part of a larger conference featuring international speakers discussing topics in Geometric Analysis and Symplectic Geometry, including systolic inequalities, minimal surfaces, and related mathematical concepts.