Algorithmic Number Theory Symposium III

算法数论研讨会三

• 批准号: 9801395
• 负责人: Joe Buhler
• 金额: $ 1.5万
• 依托单位: Reed College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-05-01 至 1999-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9801395&HistoricalAwards=false
• 关键词: Algorithmic; Number; Theory; Symposium; III

9801395 Buhler This award supports a five-day international conference on algorithmic number theory to be held at Reed College in June 1998. This is the third conference in the Algorithmic Number Theory Symposia (ANTS) series. The ANTS conferences were organized to encourage not only the usual kind of number-crunching associated with number theory, but also some of the newer aspects, including algebraic number theory and geometry, applications to other fields such as cryptography, and theoretical investigations of computational complexity. Twenty years ago many of these ideas would have seemed very foreign to number theorists, but their increasing importance has led to a widely perceived need for a conference devoted entirely to algorithmic concerns, both practical and theoretical. This conference falls into the general mathematical field of number theory. Number theory has its historical roots in the study of the whole numbers, addressing such questions as those dealing with the divisibility of one whole number by another. It is among the oldest branches of mathematics and was pursued for many centuries for purely aesthetic reasons. However, within the last half century it has become an indispensable tool in diverse applications in areas such as data transmission and processing, cryptography, and communication systems.

9801395 Buhler 该奖项支持将于 1998 年 6 月在里德学院举行的为期五天的算法数论国际会议。这是算法数论研讨会 (ANTS) 系列的第三次会议。组织 ANTS 会议的目的不仅是鼓励与数论相关的常见数字运算，而且还鼓励一些较新的方面，包括代数数论和几何、密码学等其他领域的应用以及计算复杂性的理论研究。二十年前，其中许多想法对于数论学家来说似乎非常陌生，但它们日益重要，导致人们普遍认为需要召开一次完全致力于算法问题的会议，无论是实践还是理论。 本次会议属于数论的一般数学领域。 数论的历史根源在于对整数的研究，解决诸如一个整数能否被另一个整数整除等问题。它是数学最古老的分支之一，几个世纪以来纯粹出于美学原因而被人们所追求。然而，在过去的半个世纪中，它已成为数据传输和处理、密码学和通信系统等领域的各种应用中不可或缺的工具。