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

9625420自从罗伯特·朗兰兹的猜想改变了自同构形式和表示理论的研究方向以来，已经过去了近30年。该奖项为朗兰兹计划的会议提供支持。会议的目标是(1)将朗兰兹的思想介绍给广大的数学观众；(2)描述朗兰兹计划主要领域的最新发展；(3)试图预测未来在构成朗兰兹计划的问题上的工作方向。朗兰兹计划是数论的一部分。数论是研究全体数的性质的学科，是数学中最古老的分支。从一开始，数论中的问题就为在该学科的其他不同部分创造新的数学提供了动力。朗兰德的计划是一种将数论与微积分联系起来的一般哲学；它体现了研究整数的现代方法。现代数论是非常技术性和深刻性的，但它在理论计算机科学和编码理论等领域有着惊人的应用。

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.