S4 Conference on Symmetry, Separation, Super-integrability and Special Functions

S4对称性、分​​离性、超可积性和特殊函数会议

• 批准号: 1013877
• 负责人: Peter Olver
• 金额: $ 2.85万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-09-01 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1013877&HistoricalAwards=false
• 关键词: S4; Conference; Symmetry; Separation; Super

This award supports travel for junior researchers and invited speakers participating in the "Conference on Symmetry, Separation, Super-Integrability and Special Functions," held 17-19 September 2010 at the University of Minnesota, Twin Cities. The meeting focuses on recent developments and new challenges in symmetry methods for analysis of mathematical models that arise in a broad range of physical applications. The conference topics include:-- Linear and nonlinear Lie symmetries of differential and difference equations: hidden (higher order) symmetries, differential invariants.-- Separation of variables theory and its relation to symmetry; applications to spinor equations and general relativity.-- Super-integrability of classical and quantum systems.-- Exact and quasi-exact solvability for Schrodinger eigenvalue equations.-- Relationship between symmetries and super-integrability of differential systems (especially hidden symmetries) and the theory of special functions.-- q-algebras and q-special functions; Askey-Wilson polynomials.-- Representation theory of Lie algebras, quadratic algebras, and cubic algebras.The conference will assemble leading experts, promising younger researchers, and graduate students from around the world to assess the rapid advances in the area, reach a consensus on what are the most important problems, and evaluate the most promising directions for further advances. The conference will include a panel discussion that takes stock of the field, to be documented and posted online. The conference encourages and supports participation by graduate students, postdocs, junior faculty, women, and minorities.Conference web site: http://www.math.umn.edu/conferences/s4/

该奖项支持初级研究人员的旅行，并邀请演讲者参加2010年9月17日至19日在明尼苏达大学双城分校举行的“对称性，分离，超可积性和特殊函数会议”。 会议的重点是最近的发展和新的挑战，在对称性的方法来分析数学模型，出现在广泛的物理应用。 会议主题包括：--微分和差分方程的线性和非线性李对称性：隐藏（高阶）对称性，微分不变量。变量分离理论及其与对称性的关系;旋量方程和广义相对论的应用。经典和量子系统的超可积性。薛定谔本征值方程的精确解和准精确解。微分系统的对称性和超可积性（特别是隐对称性）与特殊函数理论之间的关系。q-代数和q-特殊函数; Askey-Wilson多项式。李代数、二次代数和三次代数的表示理论。会议将聚集来自世界各地的顶尖专家、有前途的年轻研究人员和研究生，以评估该领域的快速进展，就最重要的问题达成共识，并评估最有前途的进一步发展方向。会议将包括一次小组讨论，对该领域进行评估，将记录在案并在网上公布。 会议鼓励和支持研究生、博士后、初级教师、妇女和少数民族的参与。http://www.math.umn.edu/conferences/s4/