Conference on Finite Groups

有限群会议

• 批准号: 1209471
• 负责人: Robert Guralnick
• 金额: $ 2万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-09-01 至 2014-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1209471&HistoricalAwards=false
• 关键词: Conference; Finite; Groups

There will be a conference on finite groups and related areas held at the University of Cambridge on September 27 - 30, 2012. See www-bcf.usc.edu/~guralnic/JGT80 for more details. The conference is timed to mark the 80th birthday of John Thompson. The study of local group theory proved of fundamental importance in the study of finite groups; it has recently resurfaced in the study of fusion systems and related topological ideas. The classification of finite simple groups is having profound influence in a number of areas of mathematics. At the same time, there is considerable amount of work on the revision of the classification, with significant streamlining and new ideas being brought to bear. The connections to algebraic groups have played central role in the study of groups of Lie type, as well as representation theory in the study of groups and algebras. Developments in all these subjects will be discussed at the conference.Thompson revolutionized group theory, starting in the late fifties and having central influence ever since then. His odd order paper with Feit, his series of N-group papers and other papers of lasting importance introduced new concepts and ideas which played essential role in the monumental achievement in the subject, the classification of finite simple groups. Thompson won a number of awards, including The Fields Medal, The Abel Prize, and the National Medal of Science. The aim of this research conference is to bring together leading researchers and young mathematicians in these areas. The speakers will include Aschbacher, Capdeboscq, Glauberman, Kessar, Liebeck, Malle, Robinson, Serre, Sin, Smith, Tiep and Thompson. It will be an excellent opportunity to discuss recent developments and plan the way forward for the future.

2012年9月27日至30日，在剑桥大学将举行一次关于有限群和相关领域的会议。如需详细信息，请参阅www-bcf.usc.edu/~guralnic/JGT80。这次会议是为了纪念约翰·汤普森的80岁生日。局部群论的研究在有限群的研究中被证明是至关重要的;它最近在融合系统和相关拓扑思想的研究中重新浮出水面。有限单群的分类在数学的许多领域有着深远的影响。与此同时，在修订分类方面有大量工作要做，要进行大量精简，并提出新的想法。与代数群的联系在李群的研究中起着核心作用，在群和代数的研究中也起着表示论的作用。所有这些主题的发展都将在会议上讨论。汤普森彻底改变了群论，从50年代后期开始，从那时起就有了核心影响。他奇怪的秩序文件与费特，他的一系列N-组文件和其他文件的持久重要性介绍了新的概念和思想发挥了重要作用的不朽成就的主题，分类有限简单的群体。汤普森获得了许多奖项，包括菲尔兹奖，阿贝尔奖和国家科学奖章。这次研究会议的目的是汇集这些领域的领先研究人员和年轻数学家。演讲者将包括阿什巴赫、卡普德博斯克、格劳伯曼、凯萨、利贝克、马勒、罗宾逊、塞尔、辛、史密斯、蒂普和汤普森。这将是讨论最近事态发展并规划未来前进道路的绝佳机会。