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COmbinatorics: Permutations and SYmmetric functions

Objects of interest

• Tree-like tableaux, alternative tableaux, permutation tableaux;
• Symmetric functions, quasi-symmetric functions and generalisation;
• Words, permutations (patterns and other statistics);
• Graphs, posets, maps;
• (Diagonal) invariant and coinvariant spaces;
• Representation of symmetric groups, Young diagrams.

Permutation of a tree-like tableau

Interlacing coordinates of a Young diagram

Researchers

Coordinator of the project:

• Jean-Christophe Aval (Laboratoire Bordelais de Recherche en Informatique)

Other members:

• Adrien Boussicault (LaBRI)
• Mathilde Bouvel (Institut für Mathematik)
• Valentin Féray (Institut für Mathematik)
• Philippe Nadeau (Institut Camille Jordan)
• Matteo Silimbani (Università di Bologna)
• Omar Tout (LaBRI)

Calendar

Begining of the project: september 2011.

Ending of the project: september 2014.

Acknowledgment

This project is supported by ANR (ANR-11-JS02-001)