\(\def\NN{\mathbb{N}}\) \(\def\ZZ{\mathbb{Z}}\) \(\def\QQ{\mathbb{Q}}\) \(\def\RR{\mathbb{R}}\) \(\def\CC{\mathbb{C}}\)

# Material and activities linked to the CRM-2017 school and workshop on “Equivariant Combinatorics”¶

## Documents and references¶

- Maria Gillespie’s lecture notes on Schubert Calculus Variations
- Stephen Griffeth’s lecture notes on Algebraic combinatorics and representations of Cherednik algebras
- The official SageMath thematic tutorials.
- More SageMath thematic tutorials.
- The book Calcul Mathématique avec Sage, and its ongoing translations into English and German.
- Sage’s tutorials on
`Symmetric functions`

and`Quasi symmetric functions`

- An in-the-work improved symmetric functions tutorial (prepared by Pauline Hubert and Mélodie Lapointe)
- A tutorial on integer partitions (prepared by Pauline Hubert and Mélodie Lapointe)
- A compendium of symmetric function formulas (prepared by Nancy Wallace)
- A compendium of rectangular combinatorics formulas (prepared by Étienne Tétreault)
- A brief Demontration: Computing with ideals using Singular (early draft)
- Chow, a SageMath library for computations in intersection theory, by Christophe Sorger and Manfred Lehn.
- multipolynomial_bases, a SageMath library for computing with various bases of multivariate polynomials: Schubert polynomials, Grothendieck polynomials, Demazure characters, by Viviane Pons
- code and comments on how to compute the bicharacter of diagonal harmonics up to 5 rows of 6 variables, by Bergeron and Thiéry
- Other Computational sessions at the CRM thematic semester: Algebra and Words in Combinatorics.

## Exercises and computational sessions (week: June 12-16)¶

## Monday 4-5:30pm¶

Brief introduction to Sage

Joint exploration of symmetric function features available in SageMath (notebook);

Help desk, work in small groups on pen&paper and/or computational exercises or personal problems.

For suggestions of exercises, see the lecturers notes and computational exercises

## Tuesday 2pm-5:30pm¶

- Informal help desk

## Wednesday 4-5:30pm¶

Other demos as requested

Help desk, work in small groups on pen&paper and/or computational exercises or personal problems.

For suggestions of exercises, see the lecturers notes and computational exercises