Conference: Number Theory and Combinatorics in Physics; March 21-23, 2003; Gainesville, FL

研究人员与佛罗里达大学一起主办了一个会议，“物理学中的数论和组合学”。会议的主要议题是q-超几何函数、Rogers-Ramanujan恒等式、精确可积模型和量子场论;交替符号矩阵和行列式;量子计算;以及黎曼zeta函数、随机矩阵和量子代数。 这些主题中的每一个都被数学和物理之间的相互作用所丰富。例如，最近发现了对组合数学的交替符号矩阵猜想的更深入的理解，当它与来自统计力学的XXZ自旋1/2模型（在奇数个站点上）相联系时。 在最近的另一个例子中，迪·弗朗西斯科和合作者能够使用共形场论的方法精确地计算曲折构型指数。 会议的主要目标是将数学家和物理学家聚集在一起，讨论和学习这些当前主题的最新发展。这种相互作用应该有助于促进数学和物理学的新发展。全体会议共有十一位发言人：乔治E。作者：Andrews，Robert Calderbank，Philippe Di Francesco，丹尼尔Gottesman，Michio Jimbo，巴里麦考伊，Tetsuji Miwa，James Propp，Michael Rubinstein，Xavier G. Viennot和F.Y.吴20分钟演讲者13人一些研究生和最近的博士学位。的参与。数论涉及整数的性质，是数学中最古老的分支之一。在过去的20年里，数论在密码学中有重要的应用。一些现代密码学方法的安全性依赖于整数因子分解的复杂性。1994年，Peter Shor从理论上展示了如何使用量子计算机大幅降低这种复杂性。量子计算机基于量子力学原理，目前只是一种理论设备。 量子计算机的概念最早是由诺贝尔物理学奖获得者理查德·费曼（Richard Feynman）在1983年至1986年在加州理工学院（Caltech）开设的著名计算课程中提出的。人们认为，在未来20年内，新一代计算机将是量子计算机。这将需要综合数学、量子场论和技术。这次会议，数论和组合物理学，在佛罗里达大学主办，是一个论坛，在这样的综合可以取得进展。

The investigators together with the University of Florida are hosting a Conference, ``Number Theory and Combinatorics in Physics.'' The main topics of the conference are q-hypergeometric functions, Rogers-Ramanujan identities, exactly integrable models and quantum field theory; alternating sign matrices and determinants; quantum computing; and the Riemann zeta-function, random matrices and quantum correlators. Each of these topics has been enriched by interactions between mathematics and physics. For example, deeper understanding of the alternating sign matrix conjecture of combinatorics was recently found when it was connected with the XXZ spin 1/2 model (on an odd number of sites) from statistical mechanics. In another recent example, Di Francesco and collaborators were able to exactly compute meander configuration exponents using methods of conformal field theory. The main goal of the conference is to bring mathematicians and physicists together to discuss and learn recent developments in these current topics. This interaction should help foster new developments in both mathematics and physics. There are eleven plenary speakers: George E. Andrews, Robert Calderbank, Philippe Di Francesco, Daniel Gottesman, Michio Jimbo, Barry McCoy, Tetsuji Miwa, James Propp, Michael Rubinstein, Xavier G. Viennot, and F.Y. Wu. There are thirteen 20 minute speakers. A number of graduate students and recent Ph.D.'s are participating. Number Theory is concerned with properties of integers and is one of the oldest branches of mathematics. In the last 20 years Number Theory has had important applications to cryptography. The security of some modern cryptographic methods depends on the complexity of factoring integers. In 1994, Peter Shor showed theoretically how this complexity could be drastically reduced using a quantum computer. A quantum computer is based on the principles of quantum mechanics and is at present only a theoretical device. The concept of a quantum computer was first introduced by the Nobel prize-winning physicist Richard Feynman in his famous course on computation given at Caltech, 1983-1986. It is believed that in the next 20 years the new generation of computers will be quantum computers. This will necessitate synthesis of mathematics, quantum field theory and technology. This conference, Number Theory and Combinatorics in Physics, hosted at the University of Florida, is a forum where progress on such a synthesis can be made.