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Explore the intricate connections between algebra, topology, and the Grothendieck-Teichmüller group in this 59-minute lecture by M. Robertson from Melbourne. Delve into the fascinating world of automorphisms of seamed surfaces, modular operads, and Galois actions, gaining insights into advanced mathematical concepts and their interrelationships. Expand your understanding of these complex topics as presented by an expert in the field, offering a unique perspective on cutting-edge research in mathematics.