4 problems

Consider the singularly perturbed boundary-value problem for $A(z)$ … with $A(z)\to 0$ as $\operatorname{Re}[z]\to\pm\infty$ along $\operatorname{Im}[z]=0$. At each order, the asym…

For a family of perturbed linear differential equations converging to an irregular equation, consider monodromy eigenbases of the perturbed equation and the associated Stokes opera…

Higher-dimensional local decomposition conjecture. Meromorphic connections in higher dimensions should admit such local decompositions, at least after suitable blow-ups of the sing…

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…