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Explore the intricacies of triangulated spheres and their double homology in this 42-minute conference talk by Carlos Gabriel Valenzuela Ruiz from the University of Regina. Delve into advanced mathematical concepts as part of the Workshop on Toric Topology and the Focus Program on Toric Topology, Geometry and Polyhedral Products at the Fields Institute. Gain insights into the speaker's research and findings, connecting the dots between geometry, topology, and homology theory. Enhance your understanding of complex mathematical structures and their applications in the field of toric topology.