论文标题
算术拓扑中的问题
Problems in Arithmetic Topology
论文作者
论文摘要
我们列出了2019年6月PIMS/NSF“算术拓扑”研讨会上提出的算术拓扑问题的列表。在研讨会期间举办了三个问题会议，参与者向观众提出了开放问题，并从他们自己的角度作为各个研究领域的数学家进行了共同的讨论。明确要求参与者提供各种难度的问题，目的是捕捉该领域的令人兴奋的挑战，这可以帮助指导未来的活动。这些问题以及参考文献和简短的讨论在适当的情况下分为三类：1）算术现象的拓扑类似物，2）点计数，稳定性现象和Grothendieck环，以及3）工具，方法和示例。
We present a list of problems in arithmetic topology posed at the June 2019 PIMS/NSF workshop on "Arithmetic Topology". Three problem sessions were hosted during the workshop in which participants proposed open questions to the audience and engaged in shared discussions from their own perspectives as working mathematicians across various fields of study. Participants were explicitly asked to provide problems of various levels of difficulty, with the goal of capturing a cross-section of exciting challenges in the field that could help guide future activity. The problems, together with references and brief discussions when appropriate, are collected below into three categories: 1) topological analogues of arithmetic phenomena, 2) point counts, stability phenomena and the Grothendieck ring, and 3) tools, methods and examples.
