MA 319A: Schubert Calculus

Credits: 3:0


Grassmann-Plucker relations, Schubert cells, Pieri’s formula, Young tableaux, Schur polynomials, Jacobi-Trudi and Giambelli’s formulas, Littlewood-Richardson rule, Gelfand-Serganova cells and matroids, Bruhat order, Chevalley-Monk’s formula, Schubert polynomials


Suggested books and references:

  1. L. Manivel, Symmetric functions, Schubert polynomials and degeneracy loci, AMS, 2001.
  2. I. G. Macdonald, Schubert polynomials, Surveys in combinatorics, London Math. Soc. Lecture Note Ser., 166, Cambridge University Press, 1991.
  3. W. Fulton, Young tableaux, Cambridge University Press, 1997.
  4. R. P. Stanley, Enumerative Combinatorics, Vol 2, Cambridge University Press, 1999.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 05 Dec 2025