An Introductory Mini Course into Quantum Toric Geometry Lecture I - Day 1
University of Miami via YouTube
Overview
Syllabus
Intro
Recall the basic structure of a (compact) toric variety (over C)
In general...
What are non-commutative spaces? (Gelfand duality)
Usual torus vs. Non-commutative torus aka quantum torus.
Constructing the Kronecker foliation.
Exercise.
We need Groupoids, objects that generalize groups actions (groups).
Associativity...
Internal facts... (Logic).
Natural transformations.
Group Actions produce Groupoids
Lie Groupoids
Étale Groupoids.
Morita equivalence.
Stacks associated to foliations.
Morita equivalence of algebras.
Taught by
IMSA