Quantum Toric Geometry I

Explore the foundations and motivations of quantum toric geometry (QTG) in this 59-minute minicourse presented by Ernesto Lupercio from the Center for Research and Advanced Studies of the National Polytechnic Institute. Delve into this generalization of classical toric geometry, where quantum tori replace all tori, allowing fans to become irrational. Gain insights into complex toric varieties, noncommutative spaces, chronic convolution, Russian slopes, groupoids, and more. Understand the connections between functors, categories, and manifolds in this advanced mathematical exploration. Note that familiarity with Verjovsky's talk is recommended as a prerequisite for this lecture.

Introduction
Presentation
Complex Toric
Toric Variety
Noncommutative Spaces
Noncompact Spaces
Chronic Convolution
Russian Slopes
Groupoids
Composition
Motivation
Functors
Categories
Manifolds
Atlas