Speaker: Olivier Dudas (Paris)
Title: Macdonald Polynomials for Complex Reflection Groups
Abstract:
(work in progress with R. Rouquier and C. Stump) I will give a tentative generalisation of Macdonald's \((q,t)\)-combinatorics on symmetric functions to any finite complex reflection group \(W\). More precisely, I will show how one can define an operator on the character ring of W with remarkable properties.