Combinatorics of Lie Type Conference to be held June 15-22, 2000 in Madison, Wisconsin

Combinatorics of Lie Type会议将于2000年6月15日至22日在威斯康星州麦迪逊举行

• 批准号: 9820376
• 负责人: Georgia Benkart
• 金额: $ 2万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-01-01 至 2000-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9820376&HistoricalAwards=false
• 关键词: Combinatorics; Lie; Type; Conference; held

9820376BenkartThis award will support a conference on the combinatorics of structures coming from algebras and groups of Lie type. These structures include Lie groups, Lie algebras, quantum groups, p-adic groups, real reductive groups, finite groups of Lie type, reflection groups, and fundamental groups of configuration spaces.The objective is to hold a 6-day conference, hosted by the University of Wisconsin, Madison, in order to foster discussions among current and future researchers working on the combinatorial structures that arise in the study of symmetry and its related mathematics. The meeting will establish focus and promote research on the main combinatorial problems in an area that has had an enormous impact on particle physics, the study of crystals in chemistry, and mathematical research ever since the early work of mathematician Issai Schur and physicist Hermann Weyl. Its continuing vitality is evidenced by much current activity, and it is expected to play a prominent role in mathematics throughout the next decade. Because leaders in this area rarely claim to be from the same mathematical discipline, research is being carried out by "pure" algebraists, combinatorialists, topologists, analysts, mathematical physicists, algebraic geometers, and number theorists. The goal of this conference is to bring these diverse experts together and to focus their discussions on the basic questions: "What is the combinatorics controlling fundamental structures related to symmetry, and what role does it play in algebra, topology, analysis, physics, geometry, and number theory?" The plan is to have 20 to 22 one-hour talks on different aspects of these subjects, with sufficient free time between talks for informal discussion and collaboration. It is expected that between 100 and 125 participants will attend the meeting. Special effort will be made to support the participation of graduate students and recent Ph.D.'s. These young mathematicians will be encouraged to bring their reprints and preprints for the "buffet" of preprints, which will permit browsers to sample their work. Also, each of the young participants will be paired with a senior mathematician having closely related research interests, who will serve as a mentor during the conference. The educational advantages of pairing young and experienced researchers will positively impact the careers of young mathematicians, just as the "preprint buffet" will help to publicize their work.

这个奖项将支持一个关于来自李型代数和群的结构的组合学的会议。这些结构包括李群、李代数、量子群、p-add群、实约化群、李型有限群、反射群和配置空间的基本群。目的是举办一个为期6天的会议，由威斯康星大学麦迪逊分校主办，以促进当前和未来研究对称及其相关数学中出现的组合结构的研究人员之间的讨论。自数学家Issai Schur和物理学家Hermann Weyl的早期工作以来，该领域对粒子物理、化学中的晶体研究以及数学研究产生了巨大影响，会议将确定重点并促进对主要组合问题的研究。它的持续生命力从目前的许多活动中得到了证明，预计它将在未来十年的数学中发挥重要作用。因为这一领域的领导者很少声称自己来自同一数学学科，所以研究正在由“纯粹的”代数学家、组合学家、拓扑学家、分析家、数学物理学家、代数几何学家和数论家进行。这次会议的目的是将这些不同的专家聚集在一起，并将他们的讨论集中在基本问题上：“什么是控制与对称有关的基本结构的组合学，它在代数、拓扑、分析、物理、几何和数论中扮演什么角色？”计划就这些主题的不同方面进行20至22次一小时的演讲，在演讲之间有足够的自由时间进行非正式讨论和合作。预计将有100至125人参加会议。将特别努力支持研究生和新近获得博士学位的S的参与。这些年轻的数学家将被鼓励携带他们的重印本和预印本参加预印本的“自助餐”，这将允许浏览器对他们的工作进行采样。此外，每个年轻参与者都将与一名具有密切研究兴趣的资深数学家配对，后者将在会议期间担任导师。年轻而有经验的研究人员配对的教育优势将对年轻数学家的职业生涯产生积极影响，就像“预印本自助餐”将有助于宣传他们的工作一样。