The Positive Grassmannian, the Amplituhedron, and Cluster Algebras

The Positive Grassmannian, the Amplituhedron, and Cluster Algebras

International Mathematical Union via YouTube Direct link

Intro

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1 of 15

Intro

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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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