A proof of the compositional Delta conjecture

DOI10.1016/j.aim.2022.108342zbMath1487.05269arXiv2011.11467OpenAlexW4221128322WikidataQ113880982 ScholiaQ113880982MaRDI QIDQ2136557

Michele D'Adderio, Anton Mellit

Publication date: 11 May 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11467

zbMATH Keywords

Macdonald polynomialstheta operatorsdelta conjectureDyck path algebra

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (13)

Set superpartitions and superspace duality modules ⋮ Pushing our way from the valley delta to the generalised valley delta ⋮ A proof of the fermionic theta coinvariant conjecture ⋮ Quasisymmetric harmonics of the exterior algebra ⋮ Combinatorics of the Delta conjecture at \(q=-1\) ⋮ Tanisaki witness relations for harmonic differential forms ⋮ New identities for theta operators ⋮ Rectangular analogues of the square paths conjecture and the univariate Delta conjecture ⋮ Delta and Theta Operator Expansions ⋮ Springer fibers and the Delta Conjecture at \(t = 0\) ⋮ \(q\)-Stirling numbers in type \(B\) ⋮ Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds ⋮ A Proof of the Extended Delta Conjecture

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• The Delta Conjecture
• A proof of the shuffle conjecture
• A graded representation model for Macdonald's polynomials.
• The Delta Conjecture at 𝑞=1

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