International Conference on Modern Algebra, May 21 - 24, 2002, Vanderbilt University, Nashville, Tennessee

现代代数国际会议，2002 年 5 月 21 - 24 日，范德比尔特大学，田纳西州纳什维尔

• 批准号: 0203947
• 负责人: Mark Sapir
• 金额: $ 1万
• 依托单位: Vanderbilt University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-04-01 至 2003-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0203947&HistoricalAwards=false
• 关键词: International; Conference; Modern; Algebra; May

The purpose of the project is to organize the InternationalConference on Modern Algebra in Vanderbilt University (Nashville, TN, May 21-24, 2002) in conjunction with the 19th Shanks lectures. Professor Efim Zelmanov (Yale University), has agreed to deliver the Shanks lecture. The conference will focus on several fundamental areas of modern algebra and its applications:group and semigroup theory, lattice theory and ordered tructures, model theory and universal algebra. Current and future trends in modern algebra will be the general theme. This grant will provide partial support for speakers, graduate students, post-doctoral students, and younger faculty.At a fundamental level, group theory, lattice theory, and model theory, the topics of this conference, are tools for understanding and analyzing symmetries and patterns in the world around us. For example, crystallography, the study and analysis of crystals, used once for inproving transistors and used today for studying protein structures, has advanced as group theory and lattice theory have advanced. As another example, codes may be thought of as man-made patterns, and as such advances in group theory, lattice theory, and model theory lead to advances in cryptography and cryptanalysis.

该项目的目的是在范德比尔特大学（纳什维尔，田纳西州，2002年5月21日至24日）与第19届桑克斯讲座一起组织现代代数国际会议。Efim Zelmanov教授（耶鲁大学）已同意发表Shanks讲座。会议将集中讨论现代代数及其应用的几个基本领域：群和半群理论，格理论和有序结构，模型理论和通用代数。现代代数的当前和未来趋势将是总的主题。该基金将为演讲者、研究生、博士后研究生和年轻教师提供部分支持。在基础层面上，群论、格论和模型论是理解和分析我们周围世界的对称性和模式的工具。 例如，晶体学，晶体的研究和分析，曾经用于改进晶体管，今天用于研究蛋白质结构，随着群论和晶格理论的发展而发展。 作为另一个例子，代码可以被认为是人造模式，并且因此群论、格理论和模型理论的进步导致密码学和密码分析的进步。