3 problems

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

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

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…