6 problems

Let $\hat\Pi_{4g-4}$ be the set of partitions of $4g-4$ with parts in $\{-1,0,1,2,\dots\}$ and at most $\log(g)$ entries equal to $-1$. For a stratum ${\mathcal Q}(d_1,\dots,d_n)$…

Let $\boldsymbol{d}\in\hat\Pi_{4g-4}$, and let ${\mathcal Q}(\boldsymbol{d})$ be a non-hyperelliptic connected component of a stratum of meromorphic quadratic differentials with at…

Let $\mu$ index a stratum of Abelian differentials, let ${\rm \dim}({\mathcal H}(\mu))$ denote its dimension, and let $\epsilon_1(\mu)$ and $\epsilon_2(\mu)$ be the error terms in t…

Let $g$ tend to infinity, let $\mu\vdash 2g-2$ be a partition indexing a stratum of Abelian differentials, and let $c_{\rm area}(\mu)$ denote its area Siegel–Veech constant. Define…

Siegel–Veech universality conjecture. For all such nonhyperelliptic connected components,

Let ${\mathcal M}_1$ be a regular $\operatorname{SL}(2,\mathbb R)$-invariant suborbifold in a stratum of Abelian differentials, and let $c_{\operatorname{area}}({\mathcal M}_1)$ be…