Workshop on Infinite Dimensional Lie Theory and Its Applications; July 17-25, 2003; Toronto, Canada

主要研究人员：东崇英建议编号：DMS-0320780机构：加州大学圣克鲁斯分校摘要菲尔兹研究所将于2003年7月17-25日举办关于无限维李理论及其应用的研讨会。该讲习班已得到科学咨询小组的批准，由菲尔兹研究所资助25000加元。来自NSF的资金将支持希望参与其中的年轻美国数学家。该讲习班是2000年秋季在菲尔德研究所举办的为期一学期的“无限维测谎理论及其应用”课程的后续活动。这次会议的目标是展示自2000年计划以来在测谎理论方面的一些最重要的进展。这将使充满活力的北美谎言社区在上一期节目中获得的势头基础上再接再厉。在头三天(7月17日星期四至7月19日星期六)将有一个教学部分，包括三个系列的讲座。这些将由知名人士提供，涵盖当前感兴趣的主题。会议定于7月21日(星期一)至7月25日(星期五)举行。它将以高年级学生的特邀讲座为特色。此外，菲尔兹2000李论课程的所有初级参与者将被邀请做30分钟的陈述。无限维李代数表现为一大类系统和对象的对称性。无限维李代数的理论，如Kac-Moody李代数和顶点李代数，在过去的二十年里得到了迅速的发展。这一发展在数学和物理的许多分支中都有广泛的应用，如可积系统、拓扑学、几何学、数论、保形场理论和弦理论。拟议中的会议的一个不可或缺的重要部分是为年轻的数学家提供与李氏理论领域的领先专家合作的机会，了解该领域最重要的发展，并在该领域的国际领导者面前展示他们的成就。

Principal Investigator: Chongying DongProposal Number: DMS- 0320780Institution: University of California Santa Cruz AbstractThe Fields Institute is running a workshop on Infinite Dimensional Lie Theory and Its Applications, July 17-25, 2003. The workshop has been approved by the Scientific Advisory Panel for funding of $25000 Canadian by the Fields Institute. The funding from the NSF will support young American mathematicians who wish to participate. The workshop is a follow up of one-term program on ``Infinite Dimensional Lie Theory and Its Applications'' taken place at the Field Institute in the fall of 2000. The goal of the proposed conference is to present some of the most important advances in Lie theory since the 2000 program. This will allow the vibrant North-American Lie community to build on the momentum gained through the last program. There will be an instructional component during the first three days (Thursday, July 17 through Saturday, July 19) featuring three series of lectures. These will be given by prominent people covering topics of current interest. The conference is scheduled from Monday, July 21 to Friday, July 25. It will feature invited lectures by seniors lectures. In addition, all of the junior participants in the Fields 2000 Lie Theory program will be invited to give 30 minutes presentations.Infinite dimensional Lie algebras appear as symmetries of a wide class of systems and objects. The theory of infinite dimensional Lie algebras such as Kac-Moody Lie algebras and vertex algebras have developed rapidly during the last two decades. This development has various applications to many branches in mathematics and physics such as integrable system, topology, geometry, number theory, conformal field theory and string theory. An integral and important part of the proposed conference is to provide opportunities for young mathematicians to collaborate with leading experts in Lie theory,to learn the most important development in the field, and to show off their accomplishments in front of the international leaders in the area.