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Explore interpolation techniques using zero mean curvature and constant mean curvature surfaces in this 52-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into advanced mathematical concepts as part of the "Geometry and Analysis of Minimal Surfaces" program, which brings together geometric and analytic perspectives on minimal surface theory. Learn about the mathematical foundations and applications of minimal surfaces across multiple disciplines including geometry, topology, complex analysis, partial differential equations, Lie theory, algebraic geometry, and mathematical physics. Discover how these mathematical concepts extend beyond pure mathematics into practical applications in architecture, biology, and material science. Gain insights into recent breakthroughs in minimal surface theory and construction of new examples, presented by leading researchers in the field. Understand the role of interpolation methods in connecting zero mean curvature surfaces (minimal surfaces) with constant mean curvature surfaces, exploring their geometric properties and analytical characteristics.
