The Positive Grassmannian, the Amplituhedron, and Cluster Algebras

The Positive Grassmannian, the Amplituhedron, and Cluster Algebras

International Mathematical Union via YouTube Direct link

The moment map for the Grassmannian

12 of 15

12 of 15

The moment map for the Grassmannian

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Classroom Contents

The Positive Grassmannian, the Amplituhedron, and Cluster Algebras

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  1. 1 Intro
  2. 2 Overview of the talk
  3. 3 The Grassmannian and the matroid stratification
  4. 4 What is the positive Grassmannian?
  5. 5 Cells of the positive Grassmannian
  6. 6 What is the amplituhedron?
  7. 7 How can we understand the amplituhedron?
  8. 8 Tiles of the amplituhedron
  9. 9 Coordinates for the amplituhedron
  10. 10 Tiles and cluster algebras
  11. 11 Tilings of the amplituhedron
  12. 12 The moment map for the Grassmannian
  13. 13 Recap on hypersimplex and m = 2 amplituhedron
  14. 14 Example of theorem (when k = 1 and n = 4)
  15. 15 Summary

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