Schubert calculus

Etymology
Named after German mathematician (1848–1911), who introduced the theory in the nineteenth century.

Noun

 * 1)  A branch of algebraic geometry concerned with solving certain types of counting problem in projective geometry; a symbolic calculus used to represent and solve such problems;  the enumerative geometry of linear subspaces; the study of analogous questions in generalised cohomology theories.
 * 2) * 2014, Thomas Lam, Luc Lapointe, Jennifer Morse, Anne Schilling, Mark Shimozono, Mike Zabrocki, k-Schur Functions and Affine Schubert Calculus, Springer,, page 2,
 * The rich combinatorial backbone of the theory of Schur functions, including the Robinson–Schensted algorithm, jeu-de-taquin, the plactic monoid (see for example [139]), crystal bases [127], and puzzles [74], now underlies Schubert calculus and in particular produces a direct formula for the Littlewood-Richardson coefficients.
 * 1) * 2016, Letterio Gatto, Parham Salehyan, Hasse-Schmidt Derivations on Grassmann Algebras,, Springer, page 117,
 * This point of view was extensively developed by Laksov–Thorup [96–98] and Laksov [93, 94] in the case of equivariant Schubert calculus.
 * This point of view was extensively developed by Laksov–Thorup [96–98] and Laksov [93, 94] in the case of equivariant Schubert calculus.