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Explore a captivating lecture on knot theory that delves into the intriguing world of non-hyperbolic knots. Discover the mathematical complexities surrounding the enumeration of these unique structures as the speaker presents groundbreaking research and insights. Gain a deeper understanding of topological concepts and their applications in this 46-minute presentation, which offers valuable knowledge for mathematicians, physicists, and enthusiasts interested in the fascinating intersection of geometry and topology.