3 problems

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Extended-flow conjecture for the $(n,1)$ -type rational reductions of the 2D-Toda hierarchy
Extended-flow conjecture. The $(n,1)$ -type rational reduction of the 2D-Toda hierarchy admits two sequences of extended flows
Conjectureopen2d-toda-hierarchy frobenius-manifolds integrable-systemsarXiv posted 2 days ago
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The equal-central-invariants conjecture for asymmetric RR2T of type $(n,1)$
Equal-central-invariants conjecture. The central invariants of the bihamiltonian structure of the asymmetric RR2T of type $(n,1)$ are all equal to
Conjectureopen2d-toda-hierarchy bihamiltonian-geometry integrable-systemsarXiv posted 2 days ago
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Toeplitz-reduction conjecture for the modified melting crystal tau function
Let $\tau'(s,\boldsymbol{t},\hat{\boldsymbol{t}})$ be the tau function of the modified melting crystal model, viewed as a tau function of the 2D Toda hierarchy. The Toeplitz reduct…
Conjectureopen2d-toda-hierarchy ablowitz-ladik-hierarchy integrable-systemsarXiv posted 2 days ago

Extended-flow conjecture for the (n,1)(n,1)(n,1)-type rational reductions of the 2D-Toda hierarchy