8 problems

Let $n$ be an even integer. An elementary wild character variety is a wild character variety arising from an elementary connection, considered up to isomorphism. Finiteness conject…

Irregular purity conjecture. The map $\nu$ induces

Let $\mu\in\mathcal{P}_n$, let $\mu'$ be the partition obtained by deleting the first part of $\mu$, and let $n'=n-\mu_1$. Set … Assuming the notation and the wild-to-tame correspo…

Let ${\mathcal{M}}_\B^{{\bm \mu},{\bf r}}$ be the generic wild character variety, let $d_{{\bm \mu},{\bf r}}$ be its dimension, and let…

Let ${\mathcal{M}}_\B^{{\bm \mu},{\bf r}}$ be the generic wild character variety, let $d_{{\bm \mu},{\bf r}}$ be its dimension, and let…

Let $C$ be a complex smooth projective curve of genus $g$, with divisor $D=p_1+\dots+p_k+rp$, where the points are distinct and $p$ has multiplicity $r$. Let ${\bm \mu}$ be a $k$-t…

Let $C$ be a locally planar rational curve with a unique singularity, and let $\Lambda$ be a rainbow closure of a positive braid such that the topological knot underlying $\Lambda$…

Choose a marking of each conjugacy class $\breve{\mathcal{C}}_i\subset \operatorname{GL}(V_i)$ for all $i\in I$. Gluing legs to obtain a supernova graph $\widehat{\Gamma}$ with nod…