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

主要研究者：董重英提案编号：DMS-0320780机构：加州大学圣克鲁斯摘要菲尔兹研究所将于2003年7月17-25日举办一个关于无限维李理论及其应用的研讨会。该研讨会已获得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的年轻美国数学家。该研讨会是2000年秋季在菲尔德研究所举行的“无限维李理论及其应用”的一个学期计划的后续活动。拟议会议的目标是提出自2000年计划以来李群理论的一些最重要的进展。这将使充满活力的北美谎言社区建立在通过最后一个程序获得的势头。在前三天（7月17日星期四至7月19日星期六）将有一个教学部分，包括三个系列讲座。这些将由知名人士提供，涵盖当前感兴趣的话题。会议定于7月21日星期一至7月25日星期五举行。它将以邀请老年人讲座为特色。此外，所有的初级参与者在领域2000年李理论计划将被邀请给30分钟的报告。无限维李代数出现的对称性的广泛的一类系统和对象。无限维李代数的理论如Kac-Moody李代数和顶点代数在过去的二十年里得到了迅速的发展。这一发展在可积系统、拓扑学、几何学、数论、共形场论和弦论等数学和物理学的许多分支中有着广泛的应用。拟议的会议的一个组成部分和重要组成部分是提供机会，让年轻的数学家与领先的专家在李理论合作，学习在该领域的最重要的发展，并炫耀自己的成就在国际领导人面前在该地区。

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.