Strings 2006 Conference

2006年弦乐会议

• 批准号: 0628944
• 负责人: Kefeng Liu
• 金额: --
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-05-01 至 2008-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0628944&HistoricalAwards=false
• 关键词: Strings; 2006; Conference

One of the most significant developments in the last decade in Theoretical Physics is string theory which is currently the only promising candidate for the final theory of all fundamental forces in the universe. In history the interactions of mathematics and theoretical physics have motivated many exciting developments in both disciplines, the many exciting examples include Einsten's general relativity and Riemannian geometry, positive mass conjecture and the understanding of manifolds with positive scalar curvature, Yang-Mills theory, Seiberg-Witten theory and four dimensional geometry and topology, Chern-Simons string duality and mirror formula, the Marino-Vafa formula, renormalization group flow in quantum field theory and Perelman's breakthrough in Ricci flow and Poincare conjecture. Physicists made many exciting challenging mathematical conjectures based on physical theories, which stimulate many revolutionary developments in mathematics, in particular in geometry, topology and algebraic geometry. On the other hand the mathematical proofs of these conjectures provide the most convincing evidences for their theories, and the mathematical techniques and theories developed in geometry and topology have also played fundamental roles in theoretical physics. These have been the most fruitful interactions in the history of sciences. This is a proposal to seek funding from the National Science Foundation to provide travel support for young mathematicians from the U.S. to attend the Strings 2006 conference to be held in Beijing, China on June 19th to 24th 2006.The ``Strings'' conferences are the premiere international meetings in the field of String Theory and are held annually to bring together the world's leading researchers to present and discuss the latest developments of string theory. There have been many activities in geometry, topology, number theory, statistics and applied mathematics in China. The workshops before and after conferences will feature some of the more mathematical aspects of String Theory. These workshops will serve as a venue for international experts to interact with young mathematicians from US and around the world and for their institutes to foster long-term collaborative strategy. As China is increasingly aware of the importance of fundamental researches and increases its funding accordingly, the global science community is going to experience a surge of scientific activities in the country. We are eagerly looking forward to closer collaboration with the international community.

过去十年理论物理学最重要的发展之一是弦理论，它是目前宇宙中所有基本力的最终理论唯一有希望的候选者。在历史上，数学和理论物理的相互作用推动了这两个学科的许多令人兴奋的发展，许多令人兴奋的例子包括爱因斯坦的广义相对论和黎曼几何、正质量猜想和对具有正标量曲率的流形的理解、杨-米尔斯理论、塞伯格-维滕理论和四维几何和拓扑、Chern-Simons弦对偶性和镜像公式、Marino-Vafa公式、量子场论中的重正化群流和佩雷尔曼对里奇流和庞加莱猜想的突破。物理学家基于物理理论提出了许多令人兴奋的、具有挑战性的数学猜想，刺激了数学领域的许多革命性发展，特别是在几何、拓扑和代数几何方面。另一方面，这些猜想的数学证明为其理论提供了最有说服力的证据，而几何学和拓扑学中发展起来的数学技术和理论也在理论物理中发挥了基础性的作用。这些是科学史上最富有成效的互动。这是一项向美国国家科学基金会寻求资助的提案，为来自美国的年轻数学家参加将于 2006 年 6 月 19 日至 24 日在中国北京举行的 Strings 2006 会议提供旅行支持。“Strings”会议是弦理论领域的首屈一指的国际会议，每年举行一次，汇聚世界领先的研究人员，展示和讨论弦理论的最新发展。中国在几何、拓扑、数论、统计学和应用数学方面开展了许多活动。会议前后的研讨会将讨论弦理论的一些更数学的方面。这些研讨会将成为国际专家与美国和世界各地的年轻数学家互动的场所，并为他们的机构制定长期合作战略。随着中国日益认识到基础研究的重要性并相应增加资金投入，全球科学界将在中国经历大量的科学活动。 我们热切期待与国际社会开展更密切的合作。