论文标题
广义表示形式为整体$ p $ -Adic Hodge理论中的Q连接
Generalised representations as q-connections in integral $p$-adic Hodge theory
论文作者
论文摘要
我们将各种方法与相对积分$ p $ -adic Hodge理论中的系数系统联系起来，并在完美界面整数的几何环境中工作。这些包括$ a _ {\ text {inf}} $启发的小型广义表示，从faltings，带有q连接的模块Q-DE RHAM共同体学，Bhatt--Scholze的棱镜所在的晶体以及Higgs bhattles bhatt-scholze的晶体上。
We relate various approaches to coefficient systems in relative integral $p$-adic Hodge theory, working in the geometric context over the ring of integers of a perfectoid field. These include small generalised representations over $A_{\text{inf}}$ inspired by Faltings, modules with q-connection in the sense of q-de Rham cohomology, crystals on the prismatic site of Bhatt--Scholze, and q-deformations of Higgs bundles.
