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Explore the intricate connections between Grothendieck-Teichmüller theory and tangle topology in this 23-minute conference talk delivered by C. Singh from the University of Melbourne. Delve into the mathematical framework that reveals how Grothendieck-Teichmüller symmetries manifest in the study of tangles, bridging abstract algebraic structures with concrete topological objects. Examine the theoretical foundations that connect these symmetries to low-dimensional topology, gaining insights into how homological, quantum, and computational approaches can illuminate the underlying mathematical relationships. Discover how these symmetries provide a powerful lens for understanding tangle invariants and their applications in modern topological research, offering perspectives that span from pure mathematical theory to potential computational implementations in the field of low-dimensional topology.
