5 problems

The affine-invariant-submanifold intersection formulas. The area Siegel–Veech constant and the sum of Lyapunov exponents are

Mirzakhani's covering conjecture. Higher-rank arithmetic affine invariant submanifolds are either connected components of strata or branched covering constructions.

Mirzakhani's arithmeticity conjecture. Higher-rank affine invariant submanifolds are arithmetic.

Let $\mathcal M$ be a closed $GL(2,\mathbb R)$-invariant subset of a stratum of multicomponent surfaces, and assume $\mathcal M$ consists entirely of surfaces all of whose componen…

Let $\mathcal{N}$ be a higher-rank affine invariant submanifold of a stratum of translation surfaces. A translation surface is not primitive if it covers a quadratic differential o…