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Explore the mathematical theory of embedded special Legendrian surfaces within the 5-dimensional sphere through this 47-minute conference talk presented at ICBS2025. Delve into advanced differential geometry concepts as Sebastian Heller examines the properties, construction methods, and geometric characteristics of these specialized surfaces that satisfy both Legendrian and special conditions in higher-dimensional spherical spaces. Learn about the intersection of contact geometry, minimal surface theory, and complex analysis as applied to these remarkable geometric objects, gaining insights into their role in modern geometric analysis and their connections to integrable systems and harmonic maps.
