5 problems

Fix $u_1,\ldots,u_n\in{\mathds C}$, $\xi\in S^1$ with $\Re((u_i-u_j)/\xi)<0$ for $i<j$, and $T\in M(n\times n,{\mathds R})$ upper triangular with $T_{ii}=1$ and $T+T^{tr}$ positive…

Let $(w,u_1,\ldots,u_n,\xi,T)$ be data with $w\in{\mathds Z}$, $u_i\in{\mathds C}$ pairwise distinct, $\xi\in S^1$ satisfying $\Re((u_i-u_j)/\xi)<0$ for $i<j$, and…

Consider semi-simple rank-two TERP-structures, whose rescaled families are related to solutions of … Here $u(r)$ is required to be smooth and real for large $r$. The sinh-Gordon so…

Let $(H,\nabla,H'_{\mathds R},P)$ be a TERP-structure. It requires no ramification when its formal decomposition can be made without ramification; it is a mixed TERP-structure when…

Hertling's conjecture. For any $p\in M$, the set $R$ does not contain the $\mathcal{E}+\overline{\mathcal{E}}$ orbit of $p$. Far enough along the flow of…