论文标题
伪造空间上的Galois表示
Galois representations over pseudorigid spaces
论文作者
论文摘要
我们研究$ p $ adadic hodge理论，用于伪空间的Galois代表家族。这样的空间是非架构分析空间，可能具有混合特征，并且在体重空间边界的特征值研究中自然出现。我们介绍了完美和不完美的过度会环，并使用Tate-sen方法来构建过度会议$（φ，γ）$ - 模块，用于伪造空间上的Galois表示。
We study $p$-adic Hodge theory for families of Galois representations over pseudorigid spaces. Such spaces are non-archimedean analytic spaces which may be of mixed characteristic, and which arise naturally in the study of eigenvarieties at the boundary of weight space. We introduce perfect and imperfect overconvergent period rings, and we use the Tate--Sen method to construct overconvergent $(φ, Γ)$-modules for Galois representations over pseudorigid spaces.
