论文标题
本地分析完成的共同体学
Locally analytic completed cohomology
论文作者
论文摘要
我们根据旗帜品种的载体套件和霍奇特期时期图来计算任意shimura品种的几何sen操作员。作为应用程序，我们获得了Calegari-Emerton猜想中完成的共同学的合理消失。
We compute the geometric Sen operator for arbitrary Shimura varieties in terms of equivariant vector bundles of flag varieties and the Hodge-Tate period map. As an application, we obtain the rational vanishing of completed cohomology in the Calegari-Emerton conjectures.
