2 problems

Let $(G,b,\mu)$ be a local Shimura datum, with $G$ a reductive group over $\mathbb{Q}_p$, $b\in G(\breve{\mathbb{Q}}_p)$, and $\mu$ a minuscule conjugacy class of cocharacters, and…

Local model conjecture. For every closed point $x\in |({X_{\mathscr{G}}^{\leq\mu}(b)})_{{k_F}}|$ there exists a closed point $y\in |({{\mathcal{A}}_{\mathscr{G},\mu}})_{k_F}|$ such…