3 problems

Let $\operatorname{Ig}_{\mathbf{b}}(\overline{k})$ be the geometric-point set of the Igusa variety, with its natural $G(\mathbb{A}^{\infty,p})\times J_{\mathbf{b}}(\mathbb{Q}_p)$-a…

Let $(G,X,p,\mathcal G)$ be an unramified Shimura datum. For each admissible morphism $\phi$, let $I_\phi$, $X(\phi)$, and $\mathcal H(\phi)$ be the associated objects, and let…

Let $(G,X)$ be a Shimura $p$-datum, and let $\mathcal{L}(G,X)$ be the set with Frobenius and $G(\mathbb{A}_f)$-actions constructed from the motivic Galois group. Let…