Explore the fascinating world of quantum toric geometry in this comprehensive lecture by Ernesto Lupercio from CINVESTAV. Delve into the relationship between quantum toric geometry and traditional toric geometry, drawing parallels to the quantum torus and the usual torus. Discover the key players in the theory through an introduction to Quantum Toric Geometry, followed by an in-depth exploration of moduli properties and mirror dualities. Gain insights into the latest advancements in this field, presented as part of collaborative research with Katzarkov, Meersseman, and Verjovsky.