Conference on Groups and Computation, June 14-18, 1999, Columbus, Ohio

群与计算会议，1999 年 6 月 14-18 日，俄亥俄州哥伦布

• 批准号: 9970136
• 负责人: Akos Seress
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-05-01 至 1999-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9970136&HistoricalAwards=false
• 关键词: Conference; Groups; Computation; June; 14

9970136A conference on ``Groups and Computation'' will be held on June 14-18, 1999, at The Ohio State University. The proposers request funding in order to ensure participation by leading researchers from Europe and Australia and to assist graduate students and recent PhD recipients. The main objective of the conference is to provide a forum for merging theory and practice of computations with groups. It is expected that this will result in increased understanding of the deeper mathematical issues that underlie group computations, and that these will have important algorithmic implications as we move toward the the next generation of computer architectures. That this objective is likely to be met is evidenced by previous related workshops on ``Groups and Computation'' held at DIMACS (in Rutgers University) in 1991 and 1995. A primary goal of those workshops was to foster a dialogue between researchers studying the complexity of group computations and those engaged in the development of practical algorithms. There were many comments by participants, both during and afterwards, that this goal had been achieved beyond the organizers' expectations, and had led to new perspectives and new collaborations. As a direct result, practical versions were devised for algorithms initially developed by theoreticians to improve worst case asymptotic running times; some of these have been implemented in the major computational group theory systems. Providing opportunities for graduate students and younger researchers, both as participants and as speakers, was another of the many successful aspects of previous workshops, and will be an important feature of this one as well.Computational group theory is an interdisciplinary field involving the use of groups to solve problems in computer science and mathematics. The conference will explore the interplay of research which has taken place in a number of broad areas: symbolic algebra, theoretical computer science, group theory, and applications of group computation. In addition to talks on a wide variety of mathematical and computer science issues, at past conferences on this subject there have been numerous talks on links to statistics, circuit design, digital signal processing, and the uses of parallel architectures within this branch of symbolic algebra. The major computational group theory systems employed internationally have had impacts on research within mathematics as well as its applications; based on previous experience, fast new approaches will come out of the proposed conference and will be implemented in these systems.

9970136A``小组与计算''会议将于1999年6月14日至18日在俄亥俄州立大学举行。 提议者要求资助，以确保欧洲和澳大利亚的领先研究人员参与，并协助研究生和最新的博士学位获得者。 会议的主要目的是提供一个论坛，以合并计算与群体的实践。 可以预期，这将增加对基于小组计算的更深入数学问题的了解，并且随着我们朝着下一代计算机体系结构迈进时，这些问题将具有重要的算法含义。 以前的关于在1991年和1995年在DIMACS（Rutgers University）在DIMACS（在Rutgers University）举行的有关``小组与计算'''的相关讲习班中可能实现了这一目标。这些研讨会的主要目标是培养研究人员之间研究小组计算的复杂性与参与实践算法发展的研究人员之间的对话。 参与者在此期间和之后都有许多评论，即这一目标已超出组织者的期望，并导致了新的观点和新的合作。 作为一个直接的结果，为理论家最初开发的算法设计了实用版本，以改善最坏情况的渐近运行时间。其中一些已在主要的计算组理论系统中实施。为研究生和年轻的研究人员提供机会，无论是参与者还是演讲者，都是以前研讨会的许多成功方面的另一个方面，并且将成为该研究的重要特征。 会议将探讨在许多广泛领域进行的研究的相互作用：符号代数，理论计算机科学，小组理论和小组计算的应用。 除了谈论各种数学和计算机科学问题外，在过去的有关该主题的会议上，关于统计数据，电路设计，数字信号处理的链接以及在符号代数的该分支中使用并行体系结构的使用进行了许多讨论。 国际采用的主要计算群体理论系统对数学及其应用中的研究产生了影响。根据以前的经验，将从拟议的会议中提出快速的新方法，并将在这些系统中实施。