4 problems

Let $\mathbb{B}^{0}$ be the trace-zero subspace of the quaternion algebra $\mathbb{B}$, and let $\mathcal{N}_0(x_0)$ be the Rapoport–Zink space associated with the modular curve…

Let $\{x_1,\dots,x_n\}$ be a basis of $\mathbb{V}$, let $\mathcal{Z}(x_1),\dots,\mathcal{Z}(x_n)$ be the associated special cycles in $\mathcal{N}^{[h]}_n$, and let…

Let $L\subset \mathbb{V}$ be an $O_F$-lattice. The modified derived local density is … where the coefficients $c_{n,i}\in\mathbb{Q}$ are chosen so that…

Local-density kernel conjecture. The map $\varphi_{\kappa}$ is surjective, and its kernel is isomorphic as a set to