8 problems

WKB Stokes-period conjecture. The support $\Gamma_{Q_k}$ is

Kernel inclusion conjecture. There is an inclusion of kernels

Let $L(\lambda)$ be a finite-dimensional representation of $U(\mathfrak{gl}_n)$, let $u\in\widehat{\mathfrak h_{\rm reg}}(\mathbb{R})$, and let $E(\lambda,u)$ be the set of eigenli…

Let $\mathcal A$ be the Hitchin base. A basic WKB cameral network associated to $a\in\mathcal A$ consists of a suitable homotopy-equivalent open subset of the curve together with f…

Let $L(\lambda)$ be a representation, let $E(\lambda,u)$ be the set of eigenlines of $\mathcal{A}(u)$, and let $s_{k,k+1}^{(+)}(u)$ and $s_{k+1,k}^{(-)}(u)$ be the indicated entrie…

The difference equation … serves as the quantum curve, and its WKB/topological-recursion construction defines correlation functions $C_n(x_1,\dots,x_n;\hbar)$ by the formal series…

Topological-recursion reconstruction conjecture. The topological recursion reconstructs the WKB asymptotic solution of quantum curves.

WKB spectral-network determination conjecture. The WKB exponents determined by the process coincide with the exponents constructed by the spectral network procedure of Gaiotto, Moo…