Conference: Groups and Computation, March 24 - 29, 2003, The Ohio State University

该奖项资助2003年3月24-28日在俄亥俄州立大学举行的分组和计算会议。会议的重点是分组计算中理论和实践之间的相互作用，计算算法是会议的核心。会议的主要目标是为计算群理论家，包括数学家和计算机科学家，提供一个与同事见面的论坛，以便了解这一领域的最新研究进展，了解和研究新的开放问题，进一步发展该领域现有的大型项目，并为处理群计算的大型计算机系统开发软件。第二个目标是给毕业生和新近获得博士学位的学生一个机会，让他们了解这一领域的新工作和公开问题。群论通常被描述为抽象的对称代数理论。群论产生并被广泛应用于其他领域，包括固态物理、化学(结晶学)、编码论和密码学。理解群的结构是群论的主要任务。会议的主题是这一数学学科和大量计算机计算中使用的算法问题与这些基本代数对象之间的相互作用。

This award funds a conference in Groups and Computation at theOhio State University, March 24-28, 2003. The conference focuseson the interplay between theory and practice in computing withgroups, algorithms for computation being at the heart of theconference. The primary conference goal is to provide a forumfor computational group theorists, both mathematicians andcomputer scientists, to meet with colleagues in order to learnof recent research developments in this area, to learn of andwork on new open problems, to further existing large projects inthis area, and to develop software for large computer systemsthat handle group computations. A second goal is to give graduatestudents and recent Ph.D's an opportunity to learn of new work andof open problems in the area.Group theory is often described as the algebraic theory ofsymmetry in the abstract. Group theory arises and is used in awide variety of other fields, including solid state physics,chemistry (crystallography), coding theory and cryptography. Understanding the structure of groups is the major task of grouptheory. The subject of the conference is the interaction betweenthis mathematical discipline and algorithmic questions used inextensive computer computations with these fundamental algebraicobjects.