4 problems

Draisma's conjecture. The affine infinite Grassmannian $\widetilde{\operatorname{Gr}}(\infty/2,V^*_\infty)$ is topologically $S_\infty$-noetherian: every descending chain of…

For $k>0$, let $cmathcal{GTM}_k$ be the full subcategory of topological minor morphisms spanned by graphs not admitting the Robertson chain $R_k$ as a topological minor, and let…

Let $cmathcal{GM}$ be the category of graphs and minor morphisms. A category is Noetherian over a ring if its associated module categories satisfy the relevant ascending-chain fini…

Let $W_{\geq -1}$ be the Lie algebra of polynomial vector fields on the affine line with degrees at least $-1$, and let $U(-)$ denote the universal enveloping algebra. Non-noetheria…