2 problems

Let $(G,X)$ be a Shimura datum with associated $G(\mathbb{C})$-conjugacy class of minuscule cocharacters $[\mu^{-1}]$ and reflex field $E_0$. Fix a prime $p$, let $E$ be the comple…

Let $(\mathsf{G},\mathsf{X})$ be a Shimura datum satisfying $\operatorname{rank}_{\mathbb Q}(\mathsf{Z}^\circ)=\operatorname{rank}_{\mathbb R}(\mathsf{Z}^\circ)$, let $\Xi$ denote…