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Explore a 47-minute lecture by Susan Tolman from the University of Illinois Urbana-Champaign on extending complexity one Hamiltonian actions. Delivered as part of the Workshop on Toric Topology at the Fields Institute on August 21, 2024, this talk delves into advanced concepts in toric topology and geometry. Gain insights into the intricate relationships between Hamiltonian actions, complexity, and their extensions within the broader context of toric structures. Access the full abstract for a detailed overview of the lecture's content and its significance in the field. This presentation is a component of the Focus Program on Toric Topology, Geometry and Polyhedral Products, offering a deep dive into cutting-edge research and theoretical developments in this specialized area of mathematics.