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

该项目的目的是在范德比尔特大学(田纳西州纳什维尔，2002年5月21日至24日)组织国际现代代数会议，同时举办第19次Shanks讲座。耶鲁大学教授Efim Zelmanov已同意为Shanks讲课。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、格论和有序结构、模型论和泛代数。现代代数的当前和未来趋势将是总的主题。这笔资金将为演讲者、研究生、博士后和年轻教师提供部分支持。从根本上讲，群论、格子理论和模型理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，结晶学，即对晶体的研究和分析，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进步。作为另一个例子，码可以被认为是人造模式，因此群论、格论和模型论的进步导致了密码学和密码分析的进步。

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.