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Explore the fascinating world of Quantum Toric Geometry in this 58-minute lecture by Ernesto Lupercio at the University of Miami. Delve into a groundbreaking generalization of toric geometry that parallels how the quantum torus extends the concept of a usual torus. Gain insights into quantum toric varieties and their intriguing moduli spaces. Learn about the collaborative research efforts with Katzarkov, Meersseman, and Verjovsky in this cutting-edge field. Part of the "Geometry, Topology, Group Actions, and Singularities in the Americas" conference, this talk bridges algebraic topology, algebraic geometry, and mathematical physics, fostering interdisciplinary connections across the Americas.