10 problems

Let $G$ be a compact Lie group, let $H<G$ be a closed subgroup, and let $X$ and $Y$ be $H$-equivariant $\mathcal{D}_V$-algebras whose underlying $H$-equivariant orthogonal spectra…

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 whose underlying $K$-equivariant orthogonal spectrum is cofibrant in…

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 $K<G$ be finite, and let $N$ be the normalizer of $K$ in $G$. Let $X$ be an input for the norm $N_e^G$. Normalizer geometric fixed-point conject…

Let $G$ be a compact Lie group, let $K<G$ be finite, and let $X$ be an input for the norm $N_e^G$. Assume that the adjoint action of $K$ on $T_eG$ is trivial, so that…

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…

Integration conjecture. For every such $\Sigma$ and $A$, there is an equivalence

Let $R$ be a $C_n$-ring spectrum. The twisted Dennis trace is a map … Horev's identification gives … where $\int_{S^1_{\mathrm{rot}}} R$ is the $C_n$-equivariant factorization homo…

Let $n$ be a nonnegative integer, let $\mathcal{S}$ denote the ambient symmetric monoidal category of spaces, and let $\mathcal{A}\in\operatorname{Alg}_n(\mathcal{S})$ be an $E_n$-…

Let $n\geq 0$. Write $\operatorname{{\sf Cat}}_n^{\operatorname{{\sf adj}}}$ for the full $\infty$-subcategory of $(\infty,n)$-categories in which every $k$-morphism, for $0<k<n$,…