3 problems

Let $\Delta$ be a boolean complex with an action by a group $G$ of automorphisms, and let $\operatorname{Sd}\Delta$ be its barycentric subdivision, with the induced $G$-action. Let…

Fix integers $k$ and $n$ with $n>k$, and consider the conjecture that the ideal of $X_\infty^{\leq k}$ is generated by finitely many orbits under the substitution monoid. Equivaria…

Let $X_\infty^{\leq k}$ denote the Zariski closure of the set of sums of $k$ elements of the rank-one tensor variety in the infinite tensor space, and let…