Conference on Finite Groups

将于2012年9月27日至30日在剑桥大学召开有限群及其相关领域的会议。详见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具有重要的基础意义。它最近在融合系统和相关拓扑思想的研究中重新出现。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，在修订分类方面进行了大量工作，进行了重大精简，并提出了新的想法。代数群的联系在李型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理论的作用。会议将讨论所有这些问题的发展。从50年代末开始，汤普森革新了群论，并从此产生了核心影响。他与费特合著的奇阶论文，n群系列论文，以及其他一些具有持久重要性的论文，都引入了新的概念和思想，这些概念和思想在有限单群分类这一学科的重大成就中发挥了重要作用。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主要研究人员和年轻数学家。演讲者将包括Aschbacher、Capdeboscq、Glauberman、Kessar、Liebeck、Malle、Robinson、Serre、Sin、Smith、Tiep和Thompson。这将是一个极好的机会来讨论最近的发展和规划未来的前进道路。

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.