61 citations · 243 across the 31 of their papers we have counts for
33 papers
Categorification of -Schur functions and refined Macdonald positivity
Syu Kato
We establish a substantial part of the categorification framework for -Schur functions proposed in Chen's Ph.D.\ thesis, written under the supervision of Mark Haiman. More preci…
A geometric realization of the chromatic symmetric function of a unit interval graph
Syu Kato
Shareshian-Wachs, Brosnan-Chow, and Guay-Pacquet [Adv. Math. (2016), (2018), arXiv:1601.05498] realized the chromatic (quasi-)symmetric function of a unit i…
Kostka polynomials of
Syu Kato
For each integers and , we prove an equivalence between the category of polynomial modules over a paraholic subalgebra of an affine Lie alge…
A geometric realization of Catalan functions
Syu Kato
We construct smooth projective varieties $\sX_Ψ$, each of which compactifies an equivariant vector subbundle of the cotangent bundle of the flag variety for $\GL(n)$. Each variety…
Higher level BGG reciprocity for current algebras
Syu Kato
We establish a higher-level analogue of the Bernstein--Gelfand--Gelfand (BGG) reciprocity for twisted current algebras at every positive integer level, extending the level-one resu…
Categorification of DAHA and Macdonald polynomials
Syu Kato, Anton Khoroshkin, Ievgen Makedonskyi
We describe a categorification of the Double Affine Hecke Algebra () associated with an affine Lie algebra , including…