Braids in Algebra, Geometry, and Topology

该项目支持美国的研究人员参加2017年5月22日至26日在苏格兰爱丁堡国际数学科学中心(ICMS)举行的关于辫子群的会议。非正式地，辫子群对一组粒子在空间中相互移动的方式进行编码。它们是由埃米尔·阿尔廷在20世纪初提出的，此后在数学和物理学中发挥着越来越重要的作用。它们的新应用不断被发现，通常是在似乎与辫子群卑微的物理起源几乎没有联系的研究领域。这次会议将把辫子群发挥作用的各种领域的研究人员聚集在一起。特别关注的领域包括代数几何、数论、低维拓扑和几何群论。虽然这些学科都利用了辫子群，但他们中的工作人员往往不知道在其他领域研究辫子群所用的工具。这次会议的目的是将所有这些不同的人聚集在一起，了解其他分领域感兴趣的问题，并促进跨学科合作。会议的网址是http://www.icms.org.uk/workshop.php?id=421。

This project supports the participation of US based researchers in a conference on braid groups to be held from May 22, 2017 until May 26, 2017 at the International Centre for Mathematical Sciences (ICMS) in Edinburgh, Scotland. Informally, braid groups encode the way that a collection of particles can move around each other in space. They were introduced by Emil Artin in the early 20th century and have since played an increasingly important role in both mathematics and physics. New applications for them continue to be found, often in areas of research that seemingly have little connection to braid groups' humble physical origins.This conference will bring together researchers in a wide variety of fields in which braid groups play a role. Areas of particular focus include algebraic geometry, number theory, low-dimensional topology, and geometric group theory. Though these subjects all make use of braid groups, workers in them often are not aware of the tools used to study braid groups in other fields. The purpose of this conference is to bring all these different people together to learn about the problems that are of interest in other subareas and to foment inter-disciplinary collaboration. The website of the conference ishttp://www.icms.org.uk/workshop.php?id=421