7 problems

Let $\Gamma$ be a spectral curve over a punctured base, let $\vartheta$ be a phase, and let $H(\Gamma,\vartheta)=H_1(\widehat\Gamma;L(\vartheta))$ be the extended homology of the r…

Let $A$ be a generic matrix, let $u$ be the diagonal irregular-type parameter, and let $S_+(u,A,\varepsilon)$ be the upper triangular Stokes matrix with $S_-=S_+^\dagger$. Write…

Let $u=\operatorname{diag}(u_1,\dots,u_n)$ and let $A$ be the residue matrix defining the spectral curve … Let $Z(\gamma)=\oint_\gamma\omega$ denote the period of the canonical one…

Assume the spectral-strata conjecture and the lifting conjecture above. Let $f: (\mathbb C^{m+1},0)\to(\mathbb C,0)$ be a holomorphic map germ with an isolated singularity at $0$,…

Let $T(n,\mathbb R)$ be the space of upper triangular matrices under consideration. A Seifert form stratum is a union of components of a fiber of the map to isomorphism classes of…

Let $T_{{\rm HOR}k}(n,\mathbb R)$ be the specified families of upper triangular HOR-matrices, let $T(n,\mathbb R)$ be the ambient space of such matrices, and let $S$ be a special m…

Cecotti–Vafa conjecture. If