3 problems

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Gorsky–Mazin–Vazirani conjecture on the bijectivity of the Pak–Stanley map
Gorsky–Mazin–Vazirani conjecture. The map $SP:{}^m\widetilde{S_n}\to PF_n^m$ is bijective for all coprime $m$ and $n$ .
Conjectureopenaffine-symmetric-groups combinatorics parking-functionsarXiv posted 2 days ago
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Blasiak's conjecture on sign-insertion recording tableaux and affine Kazhdan–Lusztig left cells
Let $W$ be an affine symmetric group equipped with its Kazhdan–Lusztig left and two-sided cells, and let sign insertion associate a recording tableau to each element of $W$ . Blasia…
Conjectureopenaffine-symmetric-groups kazhdan-lusztig-theory tableauxarXiv posted 2 days ago
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Left-right symmetry conjecture for affine involution Stanley symmetric functions
Let $n$ be a positive integer, let $\tilde I_n$ denote the set of affine involutions, let $z\in\tilde I_n$ , let $\hat{F}_z$ be the affine involution Stanley symmetric function, let…
Conjectureopenaffine-symmetric-groups involutions symmetric-functionsarXiv posted 2 days ago

Gorsky–Mazin–Vazirani conjecture on the bijectivity of the Pak–Stanley map