Conference: Lie Algebraic Systems with Origins in Physics

摘要项目负责人：Kleshchev， Alexander项目编号：DMS - 0757852机构：俄勒冈大学尤金分校题目：会议“物理起源的李代数系统”2009年1 - 6月，将在英国剑桥艾萨克牛顿研究所举行为期半年的“代数李理论”项目。该计划的主要活动之一将是计划于2009年3月23日至27日举行的“物理起源的李代数系统”研讨会。研讨会将汇集数学家和数学物理学家在w -代数、yangian、顶点代数、正特征李论、共形代数、手性代数、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、组合学和应用等（重叠）领域的工作。会议将提供难得和非常重要的机会，特别是对年轻的研究人员（包括研究生）。它将把李论、数学物理和表征理论等不同领域的工作人员聚集在一起。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。计划出版一册讲习班会议记录。这笔经费用于支持美国数学家参加本次研讨会。许多参与者可能会以一种特别有效的方式利用这种支助：一旦到那里，人们就可以使用自己的额外资金在艾萨克·牛顿研究所呆更长的时间，或者向研究所申请每日津贴。至少一半的资金将用于支持女性、少数民族和青年科学家（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).