3 problems

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Chavli–Pfeiffer's integral basis conjecture for Hecke algebra centers
Chavli–Pfeiffer's integral basis conjecture. There exist an $R$ -basis $\{\mathbf{b}_w\mid w\in W\}$ of $\mathscr{H}(W)$ and conjugacy-class representatives…
Conjectureopencenters he-algebras integral-basesarXiv posted 2 days ago
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Conjecture that the higher Newton polygon family is a $p$ -integral basis
Higher Newton polygon basis conjecture. The following family is a $p$ -integral basis of $K$ :
Conjectureopenintegral-bases number-fields p-adic-methodsarXiv posted 2 days ago
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Conjecture that the constructed elements form a $p$ -integral basis
The constructed-basis conjecture. These elements are always a $p$ -integral basis of $K$ .
Conjectureopenintegral-bases number-fields p-adic-methodsarXiv posted 2 days ago

Chavli–Pfeiffer's integral basis conjecture for Hecke algebra centers