Mathematical Sciences: Automorphic Forms, Geometry and Analysis; October 9-12, 1996; Princeton, New Jersey

数学科学：自守形式、几何与分析；

• 批准号: 9625420
• 负责人: Pierre Deligne
• 金额: $ 1.4万
• 依托单位: Institute For Advanced Study
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-09-01 至 1997-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9625420&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Automorphic; Forms; Geometry

9625420 Deligne It is almost thirty years since conjectures of Robert Langlands changed the direction of research on automorphic forms and representation theory. This award provides support dor a conference on the Langlands program. The objectives of the conference are (1) to bring the ideas of Langlands before a wide mathematical audience; (2) to describe recent developments in major areas of the Langlands program; (3) to attempt to anticipate future directions of work on the problems making up the Langlands' program. The Langlands program is part of number theory. Number theory is the study of the properties of the whole numbers and is the oldest branch of mathematics. From the beginning problems in number theory have furnished a driving force in creating new mathematics in other diverse parts of the discipline. The Langland's program is a general philosophy that connects number theory with calculus; it embodies the modern approach to the study of whole numbers. Modern number theory is very technical and deep, but it has had astonishing applications in areas like theoretical computer science and coding theory.

9625420 Deligne距离罗伯特·兰兰兹（Robert Langlands）的猜想改变了对自动形式和代表理论的研究方向，已经快三十年了。 该奖项为DOR提供了兰兰兹计划会议。会议的目标是（1）将兰兰兹的思想带到广泛的数学观众面前； （2）描述Langlands计划主要领域的最新发展； （3）试图预测构成兰兰兹计划的问题的未来工作方向。 兰兰兹计划是数字理论的一部分。数字理论是对整数的性质的研究，是数学最古老的分支。从一开始，理论的问题就为在学科的其他不同部分创建新数学方面提供了一种驱动力。兰兰（Langland）的计划是将数字理论与演算联系起来的一般哲学。 它体现了整个数字研究的现代方法。 现代数字理论非常技术性和深刻，但在理论计算机科学和编码理论等领域中具有惊人的应用。