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Schubert Calculus on Grassmannians
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Classroom Contents
Allen Knutson- Schubert Calculus and Quiver Varieties
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- 1 Intro
- 2 Schubert Calculus on Grassmannians
- 3 Incidence conditions
- 4 Extensions of the problem
- 5 Puzzle rules in Schubert calculus
- 6 The Yang-Baxter equation enters.
- 7 Solutions of Yang-Baxter; the relevant history.
- 8 Guessing the representation theory from the known Grassmannian puzzle rule.
- 9 Cotangent Schubert calculus
- 10 Factoring the diagonal inclusion
- 11 Conserved quantities in puzzles.
- 12 Associativity of multiplication
- 13 Other fusion channels.
- 14 Epilogue: some future directions
