4 problems

Let $t\neq t'$ and let $A$ be any closed formal subscheme of the Rapoport–Zink space $\mathcal{N}_n$. The correspondence $\mathcal{T}_n^{\leq t}$ is obtained by composing the corre…

Let $C$ be the underlying curve, let $c\in C$, and let $W^+_0$ and $W^+_c$ be the upward flows from the canonical fixed point and from the fixed point indexed by $c$, respectively.…

Let $S$ be the smooth projective surface and let $\CM$ denote the relevant smooth moduli space of sheaves. For each $n\in\BN$, write $e_{(0,...,0)}$ for the functor associated with…

In the Shimura-datum setup, let $S_{\mathbf H,\gamma}$ be the special subvariety associated with $\gamma\in\Omega\subset\mathbf G(\mathbb Q)_+$ and let $N(\gamma)$ be the complexit…