Systolic and Diastolic Geometry - Free Curvature Generalizations of Hyperbolic Identities

Watch a lecture by Florent Balacheff from Autònoma de Barcelona/CRM on "Free curvature generalizations of hyperbolic identities" as part of the "Systolic and Diastolic Geometry" event held at IMPA (Instituto de Matemática Pura e Aplicada) in Rio de Janeiro. This 59-minute presentation explores geometric problems comparing volume of spaces with lengths/areas of curves/surfaces they contain. The event brought together specialists from Differential Geometry, Analysis, and Symplectic Geometry to discuss state-of-the-art research on systolic inequalities, minimal surfaces, and related topics. The lecture is part of a broader conference featuring presentations from international mathematicians on topics including Reeb dynamics, symplectic systoles, minimal surfaces, and spectral optimization.