Systolic and Diastolic Geometry - Area Rigidity of Minimal Surfaces

Explore a lecture on "Area rigidity of minimal surfaces" presented by André Neves from the University of Chicago as part of the "Systolic and Diastolic Geometry" event held at IMPA in Rio de Janeiro. This one-hour talk delves into geometric problems comparing volume of spaces with the length/area of curves/surfaces they contain. The event gathered specialists from Differential Geometry, Analysis, and Symplectic Geometry to discuss optimal inequalities and fundamental conjectures in the field. The lecture is part of a broader program featuring international speakers addressing topics like systolic inequalities, minimal surfaces, eigenvalues, and geometric invariants. The event aimed to share state-of-the-art research and foster innovative approaches to solving fundamental problems in Geometric Analysis and Symplectic Geometry.