# 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}
}```
• Published 23 September 2015
• Mathematics
• Discrete Mathematics & Theoretical Computer Science
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…
80 Citations

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