Special Meeting: Braids in Algebra, Geometry and Topology

特别会议：代数、几何和拓扑中的辫子

• 批准号: 1038010
• 负责人: Martin Lorenz
• 金额: $ 2.41万
• 依托单位: Temple University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-09-15 至 2012-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1038010&HistoricalAwards=false
• 关键词: Special; Meeting; Braids; Algebra; Geometry

This award supports the participation of a group of US-based researchers and graduate students at a training school on ``Braids in Algebra, Geometry and Topology'', to be held January 17-28, 2011 in Hanoi. Lorenz is one of the organizers of the workshop while Le is one of the principal lecturers. The training school is primarily aimed at graduate students and young researchers. A series of six mini-courses by some of the world's leading experts will cover topics ranging from an introduction to the theory of braid groups to some current research in knot theory, quantum groups, and hyperplane arrangements, three thriving branches of mathematics where braid groups play an essential role. Immediately following the training school, there will be a 3-day workshop for specialists that will be devoted to a discussion of recent advances and perspectives for future developments.Braids, originally introduced in the context of low-dimensional topology, have since developed into a theme that permeates large parts of mathematics and mathematical physics, thereby providing a link between many different areas of current research. The Institute of Mathematics at the Vietnam Academy of Science and Technology in Hanoi is the center of mathematical research in Vietnam; it has a strong tradition of research in several areas of algebra, geometry, and topology that are closely tied to braid groups. The training school in Hanoi will introduce participating students to some important new developments in a broad range of mathematical subjects, focusing on the unifying role of braid group. In adopting this approach, the organizers aim to present a panoramic view of current research in mathematics and counteract a trend towards specialization and exclusive focus on one narrow topic. In addition, the organizers expect that the school and its accompanying workshop will boost interdisciplinary research as well as help promoting exchanges and collaborations between mathematicians in the region of Southeast Asia and experts from Europe and the United States.

该奖项支持将于2011年1月17日至28日在河内举行的一所美国研究人员和研究生的参与。洛伦兹（Lorenz）是研讨会的组织者之一，而LE是主要讲师之一。培训学校主要针对研究生和年轻研究人员。世界上一些领先的专家的一系列六个小型演奏将涵盖从编织理论的介绍到结节理论，量子群和超平面布置的一些当前研究，这是数学的三个蓬勃发展分支，布雷德小组扮演着重要的角色。在培训学校结束后，将有为期3天的专家研讨会，该研讨会将致力于讨论未来发展的最新进步和观点。此后最初在低维拓扑的背景下介绍了杂货，此后已发展为一个主题，渗透到了数学和数学物理学的大部分链接，从而提供了许多不同领域之间的链接。河内越南科学技术学院的数学研究所是越南数学研究的中心。它在代数，几何学和拓扑的几个领域具有牢固的研究传统，这些传统与辫子群紧密相关。河内的培训学校将在广泛的数学学科中介绍参与学生的一些新发展，重点关注Braid Group的统一角色。 在采用这种方法时，组织者的目标是介绍当前数学研究的全景观点，并抵消专业化和专注于一个狭窄主题的趋势。此外，组织者预计，学校及其随附的研讨会将促进跨学科研究，并帮助促进东南亚地区数学家与欧洲和美国专家之间的数学家之间的交流和合作。