The Delta Conjecture

@article{Haglund2020TheDC,
  title={The Delta Conjecture},
  author={James Haglund and Jeffrey B. Remmel and Andrew Timothy Wilson},
  journal={Discrete Mathematics \& Theoretical Computer Science},
  year={2020}
}
International audience We conjecture two combinatorial interpretations for the symmetric function ∆eken, where ∆f is an eigenoperator for the modified Macdonald polynomials defined by Bergeron, Garsia, Haiman, and Tesler. Both interpretations can be seen as generalizations of the Shuffle Conjecture, a statement originally conjectured by Haglund, Haiman, Remmel, Loehr, and Ulyanov and recently proved by Carlsson and Mellit. We show how previous work of the second and third authors on Tesler… 

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