Nikolaus Conference 2021

Speaker: Olivier Dudas (Paris)

Title: Macdonald Polynomials for Complex Reflection Groups


(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.

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