3 problems

Stable first-homology representation conjecture. For $n\geq 5$, there is an isomorphism of $S_n$-representations

Let $G$ and $G'$ be planar leaf-rooted trees with no vertices of degree $2$. For each tree, let $\mathbf{\Sigma}_G$ and $\mathbf{\Sigma}_{G'}$ be the covariance matrices determined…

Let $G$ and $G'$ be planar leaf-rooted trees with no vertices of degree $2$. For each tree, let $\mathbf{\Sigma}_G$ and $\mathbf{\Sigma}_{G'}$ be the covariance matrices associated…