2 problems

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The positivity conjecture for cluster variables
A cluster algebra is generated from a seed by mutation, and a cluster is any seed's distinguished set of variables. A Laurent polynomial has positive coefficients when every coeffi…
Conjectureopencluster-algebras laurent-positivityarXiv posted 2 days ago
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Positivity conjecture for the $A_1$ $T$ -system with cuts
Positivity conjecture. The solution to the $A_1$ $T$ -system is a positive Laurent polynomial in the initial data at the empty circles.
Conjectureopenintegrable-systems laurent-positivity t-systemsarXiv posted 2 days ago

The positivity conjecture for cluster variables