Here are the main themes our group is currently working on.

Representation theory

  • Representations of Coxeter groups and Hecke algebras, basic sets and decomposition matrices
  • Representations of Lie algebras and quantum groups, canonical and crystal bases
  • Kazhdan-Lusztig theory and Kazhdan-Lusztig cells
  • Theory of noncommutative invariants
  • Hopf algebras cohomology and group algebras

Algebraic combinatorics

  • Representations theory and conditionned random walks
  • Harmonic functions on graphs
  • Counting paths in lattices
  • Preorder and associated graphs
  • Additive number theory and generalisations