Conference: Lie Algebraic Systems with Origins in Physics

主要研究者：Kleshchev，亚历山大 提案编号：DMS - 0757852机构：俄勒冈州大学尤金题目：“李代数系统与物理学起源”会议2009年1月至6月，将在英国剑桥的艾萨克·牛顿研究所举办为期半年的“代数李理论”项目。计划期间的主要活动之一将是计划于2009年3月23日至27日举行的“李代数系统与物理学起源”研讨会。 该研讨会将汇集数学家和数学物理学家在这些（重叠）领域的工作，如W-代数，Yangians，顶点代数，正特征李理论，共形代数，手征代数，量子群，Hecke代数，Cherednik代数，无限维李代数，以及相关的表示理论，几何，组合学和应用。这次会议将提供难得的和非常重要的机会，特别是对年轻的研究人员（包括研究生）。它将汇集人们在不同领域的工作谎言理论，数学物理，和代表性理论。教学研讨会计划作为艾萨克·牛顿研究所更大项目的一部分。计划出版一卷讲习班记录。这笔赠款为美国数学家参加这次研讨会提供支持。许多参与者可能会以特别有效的方式利用这一支助：一旦到了那里，人们可能能够利用自己的额外资金在艾萨克·牛顿研究所呆更长的时间，或向研究所申请每日津贴。至少一半的资金将用于支持妇女、少数民族和年轻科学家（包括研究生）。

ABSTRACTPrincipal Investigator: Kleshchev, Alexander Proposal Number: DMS - 0757852 Institution: University of Oregon Eugene Title: Conference `Lie Algebraic Systems with Origins in Physics'In January-June 2009, a half-year program "Algebraic Lie Theory" will take place at the Isaac Newton Institute in Cambridge, England. One of the major events during the program will be the workshop "Lie Algebraic Systems with Origins in Physics" planned for 23-27 March, 2009. The workshop will bring together mathematicians and mathematical physicists working in such (overlapping) areas as W-algebras, Yangians, vertex algebras, positive characteristic Lie theory, conformal algebras, chiral algebras, quantum groups, Hecke algebras, Cherednik algebras, infinite dimensional Lie algebras, as well as related representation theory, geometry, combinatorics, and applications. The meeting will provide rare and very important opportunities, especially for young researchers (including graduate students). It will bring together people working in different areas of Lie theory, mathematical physics, and representation theory. Instructional workshops are planned as part of the larger program at the Isaac Newton Institute. A volume of proceedings of the workshop is planned. This grant provides support for participation of U.S. mathematicians in this workshop. This support might be used by many participants in an especially effective way: once there, people might be able to stay at the Isaac Newton Institute for a longer period of time using additional funds of their own or apply for per diem from the Institute. At least half of the funds will be used to support women, minority, and young scientists (including graduate students).