8 problems

Let $d\ge 1$. Suppose $D(x)$ has finite support $\mathcal{U}$. If $D(x)$ is uniformly distributed on $\mathcal{U}$, and if every $x\in \mathcal{U}$ is on the boundary of…

Let $G$ be a compact Lie group, let $K<H<G$, and let $X$ be a $K$-equivariant little $T_{eK}(G/K)$-disk algebra. Let $D(T_{eH}(G/H))$ be the open unit disk and let $i^*$ denote the…

Let $G$ be a compact Lie group, let $H<G$ be a closed subgroup, and let $R$ be a cofibrant $H$-equivariant commutative ring orthogonal spectrum in the $U_H$-universe model structur…

Let $G$ be a compact Lie group, let $H<G$ be a closed subgroup, and let $N_H^G$ be the point-set relative norm indexed on universes $U_H$ and $U$. Suppose $X'$ and $X$ satisfy the…

Let $G$ be a compact Lie group, let $K<G$ be a closed subgroup of positive dimension, and let $X$ be a $\mathcal{D}^{d}$-algebra whose underlying orthogonal spectrum is cofibrant,…

Let $G$ be a compact Lie group, let $R$ be a cofibrant commutative algebra, and let $U$ and $U^{G}$ denote the relevant complete universes. Write $N_e^G R$ for the norm and…

Norm-extension conjecture. Then $\lVert\cdot\rVert$ is the restriction to $G$ of a norm on $\mathbb Z^3$.

Let $D$ be a positive nonsquare integer, let $\mathbb Z[\sqrt D]$ be the quadratic order, and let $N$ be the minimum of the absolute values of negative norms of elements of…