An Introductory Mini Course into Quantum Toric Geometry Lecture I - Day 1

An Introductory Mini Course into Quantum Toric Geometry Lecture I - Day 1

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We need Groupoids, objects that generalize groups actions (groups).

8 of 17

8 of 17

We need Groupoids, objects that generalize groups actions (groups).

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Classroom Contents

An Introductory Mini Course into Quantum Toric Geometry Lecture I - Day 1

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  1. 1 Intro
  2. 2 Recall the basic structure of a (compact) toric variety (over C)
  3. 3 In general...
  4. 4 What are non-commutative spaces? (Gelfand duality)
  5. 5 Usual torus vs. Non-commutative torus aka quantum torus.
  6. 6 Constructing the Kronecker foliation.
  7. 7 Exercise.
  8. 8 We need Groupoids, objects that generalize groups actions (groups).
  9. 9 Associativity...
  10. 10 Internal facts... (Logic).
  11. 11 Natural transformations.
  12. 12 Group Actions produce Groupoids
  13. 13 Lie Groupoids
  14. 14 Étale Groupoids.
  15. 15 Morita equivalence.
  16. 16 Stacks associated to foliations.
  17. 17 Morita equivalence of algebras.

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