Conference on: Quantum Groups, Algebraic Groups and Related Topics; Summer 2009, Beijing, China

主要研究人员：赫尔明克，阿洛伊修斯·G建议编号：DMS-0913405机构：北卡罗来纳州立大学标题：量子群、代数群及相关主题会议量子群已成为数学中一个综合的主流研究领域，在数学和理论物理中有着广泛的应用。它涉及的研究范围很广，包括许多类型的代数，如顶点代数、Kac-Moody李代数、Hecke代数等。量子群理论的很大一部分是基于代数群和李群的结果，这些领域的接口继续提供新的研究机会。量子群和代数群的范围非常广泛，在各个方面的专业知识在世界各地都得到了发展。为了使这一学科继续发展和蓬勃发展，必须定期举行国际会议，使来自世界各地的专家以及寻求专门研究这些丰富领域的青年数学家和研究生汇聚一堂。这将创造交流思想和开拓新领域的机会。该奖项资助一群来自美国大学的研究型数学家和研究生于2009年7月18-23日在北京大学中国分校与来自亚洲、澳大利亚和欧洲的研究人员一起参加及时举行的国际会议，会议主题为“量子群、代数群和相关主题”。部分与会者还将参加于2009年7月23-27日在天津南开大学陈氏数学研究所举办的第二次“量子代数与物理”相关会议。该地区有北京大学、清华大学、北京师范大学、数学研究所等六个主要数学系和研究中心，来自当地大学和研究中心的一大批研究生将参加这次会议。受邀的资深国际专家将概述未来量子群和代数群的研究方向。非正式会议将为初级研究人员和研究生提供与该领域其他专家互动的充分机会。本次大会将为研究生和青年研究人员带来前所未有的机会，让他们深入了解量子群和代数群这一重要领域。特别是，美国研究生将获得国际工作经验。这也将有助于加强美国和中国数学家之间正在进行的合作。

ABSTRACTPrincipal Investigator: Helminck, Aloysius G.Proposal Number: DMS - 0913405 Institution: North Carolina State University Title: Conference on: Quantum Groups, Algebraic Groups and Related TopicsQuantum groups have become a comprehensive and mainstream research area in mathematics with numerous applications in mathematics and theoretical physics. It involves research from a broad range of fields, including many types of algebras, like vertex algebras, Kac-Moody Lie algebras, Hecke algebras, etc. Much of the theory of quantum groups is based on results developed for algebraic groups and Lie groups and the interface of these areas continues to provide a base of new research opportunities. The scope of the areas of quantum and algebraic groups is very broad and expertise in the various aspects has been developed all over the world. In order for the subject to continue to develop and flourish it is important that there are periodic international conferences bringing together specialists from all over the world together with young mathematicians and graduate students seeking to specialize in these rich areas. This will create opportunities for exchange of ideas and to expose new frontiers.This award supports the travel expenses of a group of research mathematicians and graduate students from USA universities to join researchers from Asia, Australia and Europe in a timely international conference on "Quantum groups, Algebraic groups and related topics" at the Peking University, Beijing, China during July 18-23, 2009. Some of the participants will also attend a second related conference hosted at the Chern Institute of Mathematics, Nankai University, Tianjin during July 23-27, 2009 on "Quantum algebras and Physics.'' There are more than half dozen major mathematical departments and research centers in the region such as Peking University, Tsinghua University, Beijing Normal University, Institute of Mathematics, etc. A large number of graduate students from local universities and research centers will attend this conference. The senior invited international experts will outline the future directions of research in quantum groups and algebraic groups. The informal sessions will provide ample opportunity for junior researchers and graduate students to interact with other experts in the field. This conference will bring unprecedented opportunities for graduate students and young researchers to gain insights on the important area of quantum groups and algebraic groups. In particular, the USA graduate students will gain international working experience. It will also help strengthen the ongoing collaboration between USA and Chinese mathematicians.