Conference on Finite Groups

2012年9月27-30日将在剑桥大学举行一个关于有限群及相关领域的会议。有关详细信息，请参阅www-bcf.usc.edu/~guralnic/JGT80。会议的召开时间是为了纪念约翰·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非常重要的；它最近在融合系统和相关的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，在修订分类方面有相当多的工作，正在进行大量的精简和新的想法。与代数群的联系在李型群的研究中起到了核心作用，在群和代数的研究中也发挥了表示理论的作用。会议将讨论所有这些主题的发展。汤普森从50年代末开始对群论进行了革命性的改革，并从那时起产生了核心影响。他与Feit的奇数阶论文、他的N群系列论文和其他具有持久重要性的论文引入了新的概念和思想，这些概念和思想在该学科的不朽成就--有限单群的分类--中发挥了重要作用。汤普森获得了许多奖项，包括菲尔兹奖章、阿贝尔奖和国家科学奖章。这次研究会议的目的是将这些领域的领先研究人员和年轻的数学家聚集在一起。演讲者包括阿施巴赫、卡波斯克、格劳伯曼、凯萨、利贝克、马勒、罗宾逊、瑟尔、辛、史密斯、蒂普和汤普森。这将是一个极好的机会，可以讨论最近的事态发展和规划未来的道路。

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.