3 problems

Let $\operatorname{rcl}$ denote the right-closure operator, and let $\operatorname{im}\operatorname{rcl}$ be its image, the space of right-closure invariants. Let…

Let $M\subset\mathbb{R}^d$ be a finite union of algebraic curves, and let $P_{\in M}$ denote the associated path variety. Path-variety dimension conjecture. Then $P_{\in M}$ is one…

Let $G$ be a subgroup of $ame{SL}d(\mathbb{R})$, and let $Z,Z':[0,T]tomathbb{R}^d$ be curves. Suppose that … for every $\varphi\in T(\mathbb{R}^d)$ fixed by $\tilde{\phi}_{A^\top}$…