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Explore the intricate connections between bar constructions and polyhedral products in this 47-minute lecture delivered by Li Cai from Xi'an Jiaotong-Liverpool University. Delve into advanced mathematical concepts as part of the Workshop on Polyhedral Products and the Focus Program on Toric Topology, Geometry and Polyhedral Products at the Fields Institute. Gain insights into the latest research and developments in this specialized field of mathematics, suitable for graduate students and researchers interested in algebraic topology and related areas.