Systolic and Diastolic Geometry - Minimal Area of Finsler Disks with Minimizing Geodesics

Watch a lecture by Stéphane Sabourau from Paris-Est Créteil on "Minimal area of Finsler disks with minimizing geodesics" as part of 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 volume of spaces and length/area of curves/surfaces they contain. The event brought together mathematicians from various specialties to discuss state-of-the-art research on key conjectures in Geometric Analysis and Symplectic Geometry, featuring presentations from international experts on topics including systolic inequalities, minimal surfaces, and spectral optimization. The lecture is presented in Portuguese with additional event information including the full program of invited speakers and short talks.