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2007年 数学科学奖

罗伯特.朗兰兹,
理察.泰勒

以表彰他们开展了一个集大成的数学体系,连结素数及对称性。

 

得奖人简介

罗伯特.朗兰兹,<br/>理察.泰勒

贡献

2007年邵逸夫数学科学奖将平均颁予罗伯特·朗兰兹和理察·泰勒教授。

罗伯特.朗兰兹教授承先启后,以几个世纪数学家的工作为基础,创建了一个集大成的数学体系,把素数和对称性连结起来。这个数学体系可溯源於高斯和希尔伯特的互逆理论,目前总称为朗兰兹纲领。这个纲领自提出以后四十多年,一直指引数论研究工作,在未来岁月,仍将发挥提纲挈领的作用。

 

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得奖者获奖介绍

The work of Robert Langlands and Richard Taylor, taken together, provides us with an extraordinary unifying vision of mathematics. This vision begins with "Reciprocity", the fundamental pillar of arithmetic of previous centuries, the legacy of Gauss and Hilbert. Langlands had the insight to imbed Reciprocity into a vast web of relationships previously unimagined. Langlands' framework has shaped – and will continue to shape, unify, and advance - some of the most important research programmes in the arithmetic of our time as well as the representation theory of our time. The work of Taylor has, by a route as successful as it is illuminating, established - in the recent past - various aspects of the Langlands programme that have profound implications for the solution of important open problems in number theory.

 

For a prime number p form the (seemingly elementary) function that associates to an integer n the value +1 if n is a square modulo p, the value – 1 if it isn't, and the value 0 if it is divisible by p. It was surely part of Langlands' initial vision that such functions and their number theory might be relatively faithful guides to the vast number-theoretic structure concealed in the panoply of automorphic forms associated to general algebraic groups. Langlands, viewing automorphic forms as certain kinds of representations (usually infinite-dimensional) of algebraic groups, discovered a unification of the two subjects, number theory and representation theory, that has provided mathematics with the astounding dictionary it now is in the process of developing and applying. Namely, the Langlands Philosophy: a dictionary between number theory and representation theory which has the uncanny feature that many elementary representation-theoretic relationships become - after translation by this dictionary – profound, and otherwise unguessed, relationships in number theory, and conversely.

 

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得奖者简介

罗伯特 • 朗兰兹 (Robert Langlands)

罗伯特 • 朗兰兹 (Robert Langlands)

罗伯特 • 朗兰兹 (Robert Langlands) (1936年出生)现为美国普林斯顿高等研究所教授。

 

朗兰兹教授在加拿大出生,1957年英属哥伦比亚大学毕业,取得学士学位,1958年获理学硕士学位,1960年从耶鲁大学取得博士学位。他曾任教於普林斯顿大学和耶鲁大学,1972年始转职普林斯顿高等研究所。朗兰兹教授是英国皇家学会和加拿大皇家学会会员,及美国科学院院士。

 

2007年6月12日 香港

 

得奖者自传

 

 

 

 

理察 • 泰勒 (Richard Taylor)

理察 • 泰勒 (Richard Taylor)

理察 • 泰勒 (Richard Taylor) (1962年出生)现为美国哈佛大学数学系教授。2002年成为该校赫雪尔史密夫数学教授。

泰勒教授在英国出生,1984年英国剑桥大学学士毕业,1988年获普林斯顿大学博士,1989至1995年曾任教於英国剑桥大学,1996至1997年在牛津大学当萨维尔几何学讲座教授。


2007年6月12日 香港

 

得奖者自传

 

 

 

 

得奖者特写

 

2007年度邵逸夫数学科学奖讲座

"Automorphic Forms, Geometry and Arithmetic: Past, Present and Future" 由罗伯特 • 朗兰兹教授主讲

2007年度邵逸夫数学科学奖讲座

"Reciprocity Laws" 由理察 • 泰勒教授主讲