论文标题
P-Adic Simpson通信II：通过正确直接图像和Hodge-Tate本地系统的功能性 - 概述
The p-adic Simpson Correspondence II: Functoriality by proper direct image and Hodge-Tate local systems -- an overview
论文作者
论文摘要
根据几种方法，各种作者已经采用了（复杂的）辛普森通讯的faltings p-Adic类似物。在我们先前启动的启动之后，我们介绍了一个新的专着，开发了P-Adic Simpson对应的新特征，灵感来自我们对相对Hodge-Tate频谱序列的构建。首先，我们解决了与Hodge-Tate本地系统的连接。其次，我们通过正确的直接图像来建立P-Adic Simpson对应的功能。一路上，我们扩大了原始结构的范围。
Faltings initiated in 2005 a p-adic analogue of the (complex) Simpson correspondence whose construction has been taken up by various authors, according to several approaches. Following the one we initiated previously, we present an overview of a new monograph developing new features of the p-adic Simpson correspondence, inspired by our construction of the relative Hodge-Tate spectral sequence. First, we address the connection to Hodge-Tate local systems. Second, we establish the functoriality of the p-adic Simpson correspondence by proper direct image. Along the way, we expand the scope of our original construction.
