Overview
Explore the intriguing world of geometric optimization in this 51-minute lecture on the isoperimetric problem. Delve into the classical formulation, which demonstrates that the Euclidean ball maximizes volume among convex bodies with fixed surface area in R^n. Investigate the reverse problem for convex bodies with positive lower-bounded curvature on their boundaries. Learn about the volume minimization challenge within this specific class of convex bodies and discover its resolution in three-dimensional space. Gain insights into advanced geometric concepts and their applications in mathematical analysis.
Syllabus
Kateryna Tatarko: Isoperimetric problem: from classical to reverse III
Taught by
Hausdorff Center for Mathematics