There are several Macdonald conjectures, including Macdonald conjecture on plane partitions, Macdonald positivity conjecture (see wikipedia: Macdonald polynomials)
Useful disambiguation is at wikipedia: Macdonald conjecture (disambiguation)
Freeman Dyson introduced a conjecture about a constant term of certain Laurent polynomial in variables.
Macdonald conjecture is its generalization to any root system, including affine root systems.
It has been proved by Cherednik in 1995; for that purpose he (earlier) introduced double affine Hecke algebras.
See at the beginning of the talk
Yuri Berest, Representation homology and strong Macdonald conjectures (slides pdf)
Wolfram’s mathworld: Macdonald’s Constant-Term Conjecture
Last revised on August 2, 2024 at 18:46:29. See the history of this page for a list of all contributions to it.