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

主要研究者：Turull，Alexandre 提案编号：DMS - 0757708机构：佛罗里达大学标题：群体和相关对象的局部和全局分析，乔治·格劳伯曼荣誉会议“群体和相关对象的局部和全局分析”，为期一周的国际会议，将于2008年3月23日至2008年3月29日在芝加哥大学举行。 对对称性的数学研究被称为群论，二十世纪数学的伟大成就之一是对有限单群进行了完全分类，这是所有有限群的基石。 第一个主要的成功的本地和全球分析的群体正是分类有限简单的群体。在这项研究中所涉及的方法产生于p-群的性质和一般群的性质之间的紧张关系。 目前，这一领域正在出现令人振奋的发展。有限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，并积极采用不同的方法。 我们对有限p-群的理解正在迅速增加，重要的新方法被提出。有限群的全局/局部分析是有限单群分类的基石，在数学的新领域中找到了意想不到的应用。本次会议，在荣誉的乔治Glauberman，其工作已经产生了深远的影响，这一主题，将汇集专家和年轻的数学家在这些连接领域讨论和了解不同的观点和不同的连接。更广泛的影响：本次会议的目的是加强研究，教育和培训。 会议将使专家们能够了解这些不同领域的最新进展。他们将能够交换意见。这次会议将是特别有用的年轻研究人员和学生，谁将能够得到这些相互关联的领域的概述。 会议鼓励妇女和少数民族的参与。它正在通过电子邮件、邮件和网站广泛宣传。

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.