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The Legacy of Bernhard Riemann After One Hundred and Fifty Years

The Legacy of Bernhard Riemann After One Hundred and Fifty Years
一百五十年后伯恩哈德·黎曼的遗产
批准号:
1534213
负责人:
Lizhen Ji
金额:
$3.0万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-08-15 至 2016-07-31

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中文摘要
翻译
“波恩哈德·黎曼一百五十年后的遗产”会议将于2015年12月27日至30日在清华三亚国际数学论坛举行。历史上只有少数数学家的工作在150年后仍以其原始形式被深入研究,并继续为后代提供灵感。伯恩哈德·黎曼(Bernhard Riemann, 1826-1866)就是这样一位数学家。在这次会议上,年轻的数学家和学生将从黎曼的工作中获得深刻的见解和灵感。该活动将提供一个论坛,讨论数学的未来发展方向及其与物理学的相互作用。活动网址为:http://ymsc.tsinghua.edu.cn/sanya/2015/LBR2015/synopsis_organizers.aspxOne只需想到黎曼曲面、黎曼流形、黎曼积分、黎曼ζ函数等概念,就能了解黎曼工作的深度和广度。事实上,黎曼的贡献为整个数学领域的研究奠定了基础。其中,黎曼对空间几何的研究已经发展成为几何和理论物理学中最重要的问题之一:什么是时空几何,可以同时解释非常小尺度的物理(量子物理)和非常大尺度的物理(广义相对论解释的宇宙学)?组织者希望这个问题成为本世纪几何和理论物理的主要推动力。本次会议将邀请多位杰出的演讲者,包括高级研究所的爱德华·威滕教授。该活动将对黎曼的工作进行正确的审视,同时吸引年轻一代的数学家关注这些主题,并提供一个论坛来讨论数学的未来发展方向及其与物理学的相互作用。
英文摘要
The conference "The Legacy of Bernhard Riemann after One Hundred and Fifty Years" will be held at Tsinghua Sanya International Mathematics Forum with dates December 27-30, 2015. There are only a few mathematicians in history whose work is still intensively studied after 150 years in its original form and continue to provide inspiration to generations to come. Bernhard Riemann (1826-1866) is one such mathematician. In this conference, young mathematicians and students will get both deep insights and gain inspiration from Riemann's work. The event will provide a forum to discuss future directions of development of mathematics and their interaction with physics. The URL for the event website is: http://ymsc.tsinghua.edu.cn/sanya/2015/LBR2015/synopsis_organizers.aspxOne only need think of concepts such as Riemann surfaces, Riemannian manifolds, the Riemann integral, and the Riemann zeta function to realize the depth and breadth of Riemann's work. Indeed, Riemann's contributions have set the foundations of entire areas of mathematics which are actively studied. Among these, Riemann's study of the geometry of space has evolved into one of the most important problems in geometry and theoretical physics: what is the geometry of space-time that can simultaneously explain the very small scale physics (quantum physics) and very large scale physics (cosmology as explained by general relativity)? The organizers expect this problem to be a major driving force of geometry and theoretical physics in this century. This conference will feature a number of distinguished speakers, including Professor Edward Witten of the Institute for Advanced Study. The activity will put Riemann's work into proper perspective, while attracting a younger generation of mathematicians to these subjects, and providing a forum to discuss future directions of development of mathematics and their interaction with physics.
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