素数、纽结和周期轨道

摘要：

这是为Ennio De Giorgi Colloquio卷写的文本。它涵盖了类比之间的代数数论和纽结理论，类比之间的解析数论和某些动力系统，并报告我们建设的动力系统的算术计划，实现这些类比。

英文摘要：

This is a text written for the Ennio De Giorgi Colloquio volume. It covers analogies between algebraic number theory and knot theory, analogies between analytic number theory and certain dynamical systems, and a report on our construction of dynamical systems for arithmetic schemes which realize some of these analogies.

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。