8 problems

Let $Z(\mathbf{t})$ be the exponential of the $\mathrm{KdV}_r$ potential function. Let $W_r^+$ denote the relevant algebra of differential operators, containing the Virasoro genera…

Let $a_0$ be a solution of the integrable hierarchy equation defining an F-manifold with compatible connection. A solution is linear when $a_0$ is linear in the coordinates, and th…

Let $M$ be a semisimple Frobenius manifold, and let its Dubrovin–Zhang integrable hierarchy be the associated hierarchy. Dubrovin–Zhang fermionic reformulation conjecture. There is…

Let $C$ be any spectral curve, and let the dispersive universal Whitham integrable hierarchy associated with $C$ be the corresponding hierarchy. Fermionic reformulation conjecture.…

Let the space be a toric Calabi–Yau 3-manifold or 3-orbifold with Aganagic–Vafa outer D-branes, let its partition function be the corresponding brane partition function, and let it…

Let $M$ be a semisimple Frobenius manifold, let its Dubrovin–Zhang integrable hierarchy be the hierarchy associated with $M$, and let the spectral curve of $M$ be constructed using…

Let a spectral curve be the spectral-curve datum to which Eynard–Orantin topological recursion applies, and let the associated dispersive universal Whitham hierarchy be the hierarc…

Let a punctured Riemann surface be a Riemann surface of arbitrary genus equipped with punctures, and let Krichever's construction associate to it a universal Whitham hierarchy. Kri…