4 problems

Let $X$ be the building of $G$, and let ${\mathscr{S}}$ be the Schneider–Stuhler $G$-equivariant sheaf associated with an irreducible supercuspidal representation. A basic elementa…

Let $\Delta$ be the Bruhat–Tits building, let $\mathbb{X}$ be the coefficient system, let $X_{0,2}$ be the specified set of edges, and let $I$ be the relevant subgroup. Let…

Let $\Delta$ be the Bruhat–Tits building of dimension $d$, let $\mathbb{X}$ be the coefficient system, and let $\mathcal{X}$ be a set of facets. For each $i\leq d$, write…

Let $\mathcal{B}$ be the Bruhat–Tits building associated with $\mathrm{PGL}_{d}(F)$, where $F$ is a local field and $d\geq3$. For a finite quotient $X$ of $\mathcal{B}$, let…