Characterization of Free Boundary CMC Surfaces in the Ball

Explore a 50-minute mathematics seminar on the characterization of free boundary constant mean curvature (CMC) surfaces in the ball. Delve into compact stable CMC surfaces with free boundary in compact convex domains of Euclidean three-space. Learn about the topological classification of these surfaces in domains with boundary geometry close to the round two-sphere. Discover the complete classification of such surfaces in the unit Euclidean three-ball. Examine a characterization of the equatorial disk and critical catenoid based on a pinching condition involving the second fundamental form and support function. Gain insights from speaker Ivaldo Nunes of Universidade Federal do Maranhão on this advanced mathematical topic, including joint work with Lucas Ambrozio.