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

会议主题：量子群、代数群及相关主题；

• 批准号: 0913405
• 负责人: Aloysius Helminck
• 金额: $ 4.3万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-04-01 至 2011-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0913405&HistoricalAwards=false
• 关键词: Conference; Quantum; Groups; Algebraic; Related

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.

摘要主要研究者：Helminck，Aloysius G.提案编号：DMS - 0913405机构：北卡罗来纳州州立大学标题：会议：量子群，代数群和相关主题量子群已经成为数学中一个全面和主流的研究领域，在数学和理论物理中有许多应用。它涉及研究从广泛的领域，包括许多类型的代数，如顶点代数，卡茨-穆迪李代数，赫克代数等量子群的理论大部分是基于结果开发的代数群和李群和这些领域的接口继续提供一个基础的新的研究机会。量子和代数群领域的范围是非常广泛的，在各个方面的专业知识已经在世界各地发展。为了使这一主题继续发展和繁荣，重要的是定期举行国际会议，汇集来自世界各地的专家与年轻的数学家和研究生一起寻求专门从事这些丰富的领域。该奖项将资助一批来自美国大学的数学家和研究生与来自亚洲、澳大利亚和欧洲的研究人员一起参加2009年7月18日至23日在中国北京大学举行的关于“量子群、代数群和相关主题”的国际会议。部分与会者还将参加2009年7月23日至27日在天津南开大学陈省身数学研究所举办的第二次相关会议，会议主题为“量子代数与物理”。“”北京大学、清华大学、北师大、数学研究所等六个以上的地区主要数学系和研究中心，将有大量来自当地大学和研究中心的研究生参加这次会议。邀请的国际资深专家将概述量子群和代数群的未来研究方向。 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。本次会议将为研究生和年轻研究人员带来前所未有的机会，以获得量子群和代数群的重要领域的见解。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。