2 problems

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The brick-polytope quotient conjecture for the longest element
Let $Q$ be a sorting and alternating word in a Coxeter group with longest element $\omega_\circ$ , let $\mathsf{Brick}(Q,\omega_\circ)$ be the associated brick polytope, and let…
Conjectureopenbrick-polytopes lattice-congruences weak-orderarXiv posted 2 days ago
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Pilaud–Stump's conjecture on brick polytopes for spherical subword complexes
Pilaud–Stump's conjecture. Important properties of brick polytopes for spherical root-independent subword complexes should hold for all spherical subword complexes.
Conjectureopenbrick-polytopes coxeter-groups subword-complexesarXiv posted 2 days ago

The brick-polytope quotient conjecture for the longest element