3 problems

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Hibi–Olsen–Tsuchiya conjecture on unimodular triangulations of s-lecture hall simplices
Let ${\boldsymbol{s}}$ be a positive integer sequence, and let $\mathcal{P}_n^{{\boldsymbol{s}}}$ denote the corresponding $\boldsymbol{s}$ -lecture hall simplex. Hibi–Olsen–Tsuchiy…
Conjectureopendiscrete-geometry lecture-hall-polytopes unimodular-triangulationsarXiv posted 2 days ago
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The unimodular triangulation conjecture for lecture hall polytopes
Let $\boldsymbol{s}=(s_1,\ldots,s_d)$ be an integer sequence, and let $P_d^{(\boldsymbol{s})}$ denote the lecture hall polytope associated to $\boldsymbol{s}$ . A triangulation is u…
Conjectureopenlattice-polytopes lecture-hall-polytopes unimodular-triangulationsarXiv posted 2 days ago
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De Loera–McAllister's unimodular triangulation conjecture for the homogenized hive matrix
The homogenized hive matrix is the matrix arising from the homogenized hive polytope formulation of type $A$ Littlewood–Richardson coefficients. A triangulation is unimodular when…
Conjectureopenlattice-polytopes representation-theory unimodular-triangulationsarXiv posted 2 days ago

Hibi–Olsen–Tsuchiya conjecture on unimodular triangulations of s-lecture hall simplices