schubert_calculus

`Enumerative linear algebra`

Schubert calculus answers questions like how many $k$-plans intersect a given set of other linear subspaces in $\mathbb{C}^n$. It gives a deep link between a cell structure of the Grassmannian (space of all $k$-planes) and combinatorial objects like Schur polynomials and Knutson-Tao puzzles.

Not the most comprehensive, but very nicely animated research talk:

- Allen Knutson:
*Schubert calculus and quiver varieties*, https://www.youtube.com/watch?v=vsnL0SWDNsI

- Grassmannian
- Schur polynomials
- Quiver variety

schubert_calculus.txt · Last modified: 2022/08/13 18:53 by alex_th