周期环的几何和表示论专题I
Topics on Geometric and Representation Theoretic Aspects of Period Rings I
摘要：
我们认为更一般的框架比相应的一个考虑在我们以前的工作中的Hodge-Iwasawa理论。在我们目前的考虑，我们考虑相应的更一般的底空间，即解析进空间和解析perfectoid空间在Kedlaya的AWS讲义。我们希望我们的讨论也将有助于进一步推广到更一般的空间，如Gabber-Ramero所考虑的空间，即只考虑满足Fontaine-Wintemberger幂等对应的某些拓扑环，并将其称为Perfectoid，这是Scholze，Fontaine，Kedlaya-Liu和Kedlaya（AWS讲义）的概念的推广。实际上，我们在这里提出的一些讨论已经以某种更一般的形式用于此目的（尽管我们还没有做出足够的努力来写所有的事情）。
英文摘要：
We consider more general framework than the corresponding one considered in our previous work on the Hodge-Iwasawa theory. In our current consideration we consider the corresponding more general base spaces, namely the analytic adic spaces and analytic perfectoid spaces in Kedlaya's AWS Lecture notes. We hope our discussion will also shed some light on further generalization to even more general spaces such as those considered by Gabber-Ramero namely one just considers certain topological rings which satisfy the Fontaine-Wintenberger idempotent correspondence and calls them perfectoid generalizing the notions from Scholze, Fontaine, Kedlaya-Liu and Kedlaya (AWS Lecture notes). Actually some of the discussion we presented here is already in some more general form for this purpose (although we have not made enough efforts to write all the things).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
