An Introductory Mini Course into Quantum Toric Geometry Lecture II

Delve into the second lecture of a mini-course on Quantum Toric Geometry, presented by Ernesto Lupercio from the Center for Research and Advanced Studies of the National Polytechnic Institute (Cinvestav-IPN). Explore the foundations of Quantum Toric Geometry, a generalization of toric geometry where irrational fans correspond to non-commutative spaces called quantum toric varieties. Discover how quantum toric varieties relate to usual toric varieties in a manner analogous to the relationship between quantum torus and the usual torus. Focus on key topics including LVM theory, Quantum GIT, and moduli spaces of toric varieties. Gain insights into this advanced mathematical concept through a comprehensive 1-hour and 4-minute lecture. Familiarize yourself with toric varieties, referencing Fulton's book as a helpful resource, to enhance understanding of the material presented.