Explore the intricate connections between flag complexes, polyhedral products, and geometric group theory in this hour-long lecture delivered by Stephen Theriault from the University of Southampton. Delve into advanced mathematical concepts as part of the Graduate School on Toric Topology and the Focus Program on Toric Topology, Geometry and Polyhedral Products at the Fields Institute. Gain insights into these complex topics and their applications in modern mathematics, enhancing your understanding of toric topology and related fields.