6 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 … where the locally convex inductive limit is over open neighborhoods $U\subset N\backslash P^{\operatorname{an}}_{\operatorname{dR}}$ containing the closure of the image of…

Let $(G,X)$ be a Shimura datum, let $b\in G(\breve{\mathbb{Q}}_p)$ satisfy the compatibility condition with the Hodge cocharacter, and let $\mathfrak{I}^b$ be the associated affine…

Assume that $\mathsf{G}$ is a connected simply connected semisimple algebraic group over $\mathsf{F}$, with $\Xi=\\{1\\}$. Let $\pi_{w'}$ be a finite-length supercuspidal represent…

Let $(G,X,p,\mathcal{G})$ be an integral Shimura datum, let $\mathbf{b}$ be as above, and let $J_{\mathbf{b}}$ be the associated group. Let $\mathfrak{X}$ be the fixed central-char…

Let $(G,X,p,\mathcal{G})$ be an integral Shimura datum, let $\mathbf{b}$ be a $\sigma$-conjugacy parameter, and let $J_{\mathbf{b}}$ be the associated group. Let…