论文标题
几何，推断，复杂性和民主
Geometry, Inference, Complexity, and Democracy
论文作者
论文摘要
关于应如何将美国人口分为立法区的决定具有强大的且不完全了解对选举结果的影响。理解“公平区域”可能意味着什么的问题交织了数学，政治和法律推理；但是直到近年来，学术数学社区才直接参与了这一过程。我将报告该领域的最新进展，新开发的数学工具如何影响了实际的政治决策，还有什么要做的。这项调查代表了作者在2020年1月联合数学会议的当前事件公告会议上发表的演讲的内容。
Decisions about how the population of the United States should be divided into legislative districts have powerful and not fully understood effects on the outcomes of elections. The problem of understanding what we might mean by "fair districting" intertwines mathematical, political, and legal reasoning; but only in recent years has the academic mathematical community gotten directly involved in the process. I'll report on recent progress in this area, how newly developed mathematical tools have affected real political decisions, and what remains to be done. This survey represents the content of a lecture presented by the author in the Current Events Bulletin session of the Joint Mathematics Meetings in January 2020.
