2 problems

Compact generation conjecture. The category $\widehat{\mathcal{S}\mathrm{kCat}_G(\Sigma)}$ admits a compact generator.

Let $(\Delta,\mathcal{U}(\boldsymbol F))$ be a right-angled building with universal group determined by local groups $F_i$, indexed by $i\in I$. Assume that each local group $F_i$…