3 problems

Let $G$ be a connected reductive group over $F$ that splits over a tame extension. Let $\pi$ be a depth-zero irreducible representation of $G(F)$, and let…

Let $F$ be a local field, let $E/F$ be a cyclic tamely ramified extension, and let $\underline{G}$ be a reductive group over $F$. For a point $x$ in the building of…

Let $F$ be a local field, let $E/F$ be an unramified extension, and let $\underline{G}$ be a reductive group over $F$. For a point $x$ in the building of $\underline{G}(F)$, let…