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