Uniform random complex top-homology asymptotic conjecture
Let F\mathbb{F}F be a field and let Δ\tooltip∼U(n)\Delta\tooltip\sim \mathcal{U}(n)Δ\tooltip∼U(n), where nnn is even. Here U(n)\mathcal{U}(n)U(n) denotes the uniform random simplicial complex on [n][n][n]. Top-homolog…