3 problems

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Chapoton's conjecture on incidence algebras of root-poset distributive lattices
Chapoton's conjecture. The incidence algebras $k[J(\Phi^+)]$ are fractionally Calabi--Yau.
Conjectureopenfractional-calabi-yau incidence-algebras root-systemsarXiv posted 2 days ago
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Fractional Calabi–Yau conjecture for the category of holomorphic triples on an elliptic curve
Fractional Calabi–Yau conjecture. The Serre functor satisfies
Conjectureopenderived-categories fractional-calabi-yau holomorphic-triplesarXiv posted 2 days ago
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The tensor-product characterization of the Fano condition
Let $n\geq 3$ and let $p_1,\ldots,p_n\geq 2$ be integers. Set $\Lambda=\bigotimes_{i=1}^n k\mathbb{A}_{p_i-1}$ . The tensor-product Fano conjecture. The following conditions are equ…
Conjectureopenderived-categories fractional-calabi-yau representation-theoryarXiv posted 2 days ago

Chapoton's conjecture on incidence algebras of root-poset distributive lattices