3 problems

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Representation truncation conjecture for the second Lasserre level
Representation truncation conjecture. The optimal value of $\mathrm{las}_2$ can be obtained using only the representations
Conjectureopenequiangular-lines lasserre-hierarchy representation-theoryarXiv posted 2 days ago
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Cubic growth conjecture for the stable ranges of the second and third Lasserre levels
Cubic growth conjecture. Based on the computed data, the corresponding expressions for $D_3(a)$ and $D_4(a)$ are cubic rather than quadratic.
Conjectureopenequiangular-lines lasserre-hierarchyarXiv posted 2 days ago
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First-order Lasserre relaxation exactness conjecture for generic input data
Consider the polynomial optimization problem in equation and its first-order relaxation in the Lasserre hierarchy. First-order relaxation exactness conjecture. Objective value exac…
Conjectureopenlasserre-hierarchy polynomial-optimization semidefinite-programmingarXiv posted 2 days ago

Representation truncation conjecture for the second Lasserre level