Local and global analysis of groups and related objects, Conference in honor of George Glauberman, March 23-29, 2008, Chicago, IL

摘要主要研究者：Turull， Alexandre提案编号：DMS - 0757708机构：佛罗里达大学题目：群体及相关对象的局部与全局分析，纪念George glauberman会议“群体及相关对象的局部与全局分析”会议将于2008年3月23日至29日在芝加哥大学举行，为期一周。对称的数学研究被称为群论。20世纪数学的伟大成就之一是有限单群的完全分类，它们是所有有限群的基石。群的局部和整体分析的第一个主要成功恰恰是有限简单群的分类。本研究中涉及的方法源于p群和一般群的性质之间的紧张关系。这一领域目前正在发生令人兴奋的发展。有限简单群分类的重组和系统化正在以令人印象深刻的速度取得进展，正在积极采取不同的方法。随着重要的新方法的提出，我们对有限p群的理解正在迅速增加。有限群的全局/局部分析是所有关于有限单群分类工作的基石，它正在数学的新领域中发现意想不到的应用。为了纪念乔治·格劳伯曼（George Glauberman），他的工作对这一主题产生了深远的影响，这次会议将汇集这些相关领域的专家和年轻数学家，讨论和学习不同的观点和不同的联系。更广泛的影响：本次会议的目的是加强研究、教育和培训。这次会议将使专家们能够及时了解这些不同领域的最新进展。他们将能够交换意见。会议对年轻的研究人员和学生特别有用，他们将能够对这些相互关联的领域有一个概述。会议鼓励妇女和少数民族的参与。它正在通过电子邮件、信件和网站广泛宣传。

ABSTRACTPrincipal Investigator: Turull, Alexandre Proposal Number: DMS - 0757708 Institution: University of Florida Title: Local and global analysis of groups and related objects, Conference in honor of George GlaubermanThe conference"The local and global analysis of groups and related objects", a one week international conference, will be held at the University of Chicago, from March 23, 2008 to March 29, 2008. The mathematical study of symmetry is called group theory.One of the great achievements of Twentieth Century mathematics is the complete classification of the finite simple groups, the building blocks of all finite groups. The first major success of the local and global analysis of groups is precisely the Classification of Finite Simple Groups. The methods involved in this study arise from a tension between the properties of p-groups and those of general groups. Exciting developments are currently taking place in this area. The restructuring and systematization of the Classification of Finite Simple Groups is progressing at an impressive rate, with different approaches being actively pursued. Our understanding of the finite p-groups is rapidly increasing, with important new approaches being proposed.The global/local analysis of finite groups, which is the cornerstone of all work on the classification of finite simple groups, is finding unexpected applications in new areas of mathematics. This conference, in honor of George Glauberman, whose work has had a profound influence on this subject, will bring together experts and young mathematicians in these connected areas to discuss and learn about the different points of view and the different connections. Broader Impact: The purpose of this conference is to enhance research, education and training. The conference will allow experts to keep abreast of the latest advances in these diverse areas. They will be able to exchange ideas. The conference will be especially useful for young researchers, and students, who will be able to get an overview of these interrelated fields. The conference encourages the participation of women and minorities. It is being publicized widely through email, mailings, and a web site.