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Explore the intricacies of chord diagrams in this comprehensive lecture delivered by D. Ilyutko. Delve into the mathematical concepts and applications of these powerful visual representations used in various fields such as topology, knot theory, and graph theory. Gain insights into the structure, properties, and manipulations of chord diagrams, and understand their significance in solving complex problems. Learn how to construct, analyze, and interpret chord diagrams to enhance your understanding of interconnected systems and relationships. Discover the practical applications of chord diagrams in diverse areas, including genetics, music theory, and network analysis. By the end of this 1-hour and 26-minute presentation, acquire a solid foundation in chord diagram theory and its relevance in modern mathematics and scientific research.