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Explore the fundamental principles of discrete networks and polymer chains in this comprehensive lecture delivered by Abigail Plummer at the International Centre for Theoretical Sciences. Delve into the mathematical and physical frameworks that govern the behavior of discrete network structures and polymer chain systems, examining their mechanical properties, geometric constraints, and applications in materials science. Learn how these concepts connect to broader themes in geometry, mechanics, and the physics of growth, particularly in the context of complex engineered and biological materials. Discover the theoretical foundations that underpin the analysis of slender structures and their morphological transformations, with emphasis on how discrete modeling approaches can capture the essential physics of polymer systems. Gain insights into the interdisciplinary nature of this field, which bridges continuum mechanics, soft matter physics, and applied mathematics to understand form-function relationships in both natural and synthetic materials.
