论文标题
部分可观测时空混沌系统的无模型预测
From Fontaine-Mazur conjecture to analytic pro-p groups -- A survey
论文作者
论文摘要
Fontaine-Mazur猜想是现代算术几何形状中的核心陈述之一。自1993年其原始陈述以来，给出了几种表述，许多作者已经采用了各种角度来解决它。 1992年，波士顿的开创性论文提供了一系列纯粹的群体理论方法，而不是代表理论，以证明这种猜想的某些特殊情况。后来，Maire及其合着者成功地进行了此类方法，并为猜想所涉及的对象提供了不同的信息。这篇调查文章旨在回顾这个方向上已知的内容，并提出作者解决的一些有趣的相关问题。
Fontaine-Mazur Conjecture is one of the core statements in modern arithmetic geometry. Several formulations were given since its original statement in 1993, and various angles have been adopted by numerous authors to try to tackle it. Boston's seminal paper in 1992 gave a range of purely group-theoretic methods rather than representation-theoretic ones to prove some special cases of this conjecture. Such methods have been later successfully carried on by Maire and his co-authors, and brings different informations on the objects involved in the conjecture. This survey article aims to review what is known in this direction and to present some interesting related questions the authors work on.
