Explore the concept of geometric recursion for the moduli space of toric varieties in this lecture by Ernesto Lupercio from CINVESTAV. Delve into the analogies between quantum toric varieties and traditional geometric recursion cases, covering topics such as modular space, quantum tour, quantum lattice, quantum torus, and quantum CP1. Examine classical and quantum torics, canonical toric stacks, and the parameterization of quantum geometric invariant theory. Investigate LVN menthos, LBM manifolds, toric varieties, group actions, and algorithms related to moduli spaces. Analyze the Gamma complete case, modular spaces of P and L, ultrafilters, standardization, and patterns through examples.