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\newcommand{\Cat}{{\rm Cat}} \newcommand{\A}{\mathcal A} \newcommand{\freestar}{ \framebox[7pt]{$\star$} }

5. Macdonald polynomials


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      Problem 5.1.

      What are Schur expansions of projector closures at the category level and what are their connections to Macdonald theory?


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          Problem 5.2.

          Categorify the modified Macdonald polynomials \tilde{H_\mu}.


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              Problem 5.3.

              Let P\in SYT(\lambda), Q\in SYT(\mu) relate Hom(tr(P),tr(Q)) to the Macdonald inner product.


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                  Problem 5.4.

                  Find the Macdonald/Schur expansion of the a-graded Frobenius character of the parking function space. How does the tr(T(m,n) relate to the parking function module?

                      Cite this as: AimPL: Algebra, geometry, and combinatorics of link homology, available at http://aimpl.org/agclinkhom.