7 problems

Restriction equivalence conjecture. There is a notion of weak equivalence of semi-infinite spectra and a notion of weak equivalence of Hilbert spectra such that the restriction map…

Faithfulness conjecture. This 2-functor extends to a faithful 2-functor

Let $cs$ be the homotopy category considered in the paper, and let $cSigma$-pure-injective objects be the objects classified by Theorem. Pure-injective classification conjecture. T…

Let $\mathbf{Hot}_{*,c}$ denote the homotopy category of pointed, connected spaces, and let the set of spheres consist of the objects $S^n$ for $n\geq 0$. Spheres-boundedness conje…

Let $G$ be an algebraic supergroup with reductive even part, let $\mathcal T=\operatorname{Rep}_k(G)$, and let $\mathcal C=\operatorname{Rep}(G)^\infty$. For objects…

For a finite-dimensional algebra $A$, let ${\rm proj}\text{-}A$ denote the category of finitely generated projective right $A$-modules. A category is K-standard if every triangle a…

Let $A$ be a ring, and let $\operatorname{Fpinj} A$ be the category of fp-injective $A$-modules. Write $\mathbf K(\operatorname{Inj} A)$ for the homotopy category of complexes of i…