New York Group Theory Seminar and Symbolic Computation Workshops

纽约小组理论研讨会和符号计算研讨会

• 批准号: 0330802
• 负责人: Gilbert Baumslag
• 金额: $ 1万
• 依托单位: CUNY City College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-06-01 至 2007-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0330802&HistoricalAwards=false
• 关键词: New; York; Group; Theory; Seminar

Principal Investigator: Gilbert BaumslagProposal Number: DMS- 0330802Institution: CUNY City CollegeTitle: New York Group Theory Seminar and Symbolic Computation WorkshopsAbstractThe New York Group Theory Seminar is the oldest, continuously running research seminar in the New York City area - some 48 years. It was started around 1955 by Wilhelm Magnus and currently is held, for the most part, on Friday afternoons, at the Graduate Center of the City University of New York under the direction of Gilbert Baumslag and Sean Cleary, of the City College of New York. The emphasis of the seminar is on Combinatorial, Geometric and Computational Group Theory. Many of the talks touch also on three-dimensional topology, homological algebra and theoretical computer science. There are usually 10 seminars each semester. A sprinkling of these seminars are expository and are sometimes combined with one-day or two-day long workshops or conferences.Groups are mathematical structures, which capture, in mathematical form, the nature of symmetry. It turns out, for this very reason, that they play an important role in crystallography, in particle physics, in geometry and in the study of the three-dimensional world that we live in. They are an important tool in many diverse mathematical disciplines as well as in theoretical computer science. Recently they have been used in cryptography, a field of enormous economic and strategic importance.

首席研究人员：吉尔伯特·鲍姆斯兰格港（Gilbert Baumslagpropossal）编号：DMS- 0330802建筑：Cuny City Collegetitle：纽约集团理论理论研讨会和符号计算研讨会纽约集团理论研讨会是最古老的，最古老的，在纽约市地区持续不断地运行的研究研讨会 - 一些48年。它是由威廉·马格努斯（Wilhelm Magnus）于1955年左右开始的，目前在周五下午在纽约市城市大学的纽约市城市大学的研究生中心举行。研讨会的重点是组合，几何和计算群体理论。许多谈判也涉及三维拓扑，同源代数和理论计算机科学。通常每个学期都有10个研讨会。这些研讨会的洒水是说明性的，有时与一日或两天的长期研讨会或会议结合在一起。小组是数学结构，以数学形式捕获对称性的性质。事实证明，出于这个原因，它们在晶体学，粒子物理，几何学和研究我们所生活的三维世界中起着重要作用。它们是许多多样化的数学学科以及理论计算机科学中的重要工具。最近，它们被用于密码学，这是一个巨大的经济和战略重要性领域。