Conference Travel Funding: Algebraic Topology, Group Theory, and Representation Theory; Summer 2009; Isle of Skye, Scotland

该项目将为美国研究人员出席将于2009年6月9日至15日举行的“代数拓扑学、群论和表示论会议”提供支持。这次会议是基于这样一种观察，即近年来在代数拓扑学和群与表示论的数学领域共同的领域中，活动不断增加。这些领域已经收敛的主题包括同伦理论的研究，紧李群空间的分类，融合系统，以及群论中的局部-整体主题。会议将汇聚这些数学领域的研究人员，分享和讨论当前的发展，以刺激活动和加强互动。不同但相互关联的领域之间的这种互动往往会开发出解决现有问题的新方法和解决方案。2009年6月的“代数拓扑学、群论和表示论会议”将把这三个领域的研究人员聚集在一起，他们经历了令人兴奋的、有时是意想不到的共同线索。组织者预计将有大约100人参加会议，其中相当多的人将处于职业生涯的早期。由于会议所代表的学科之间的互动相对较新，对于年轻的研究人员来说应该非常有吸引力，他们将通过出席会议接触到各种方法。

This project will provide support for attendance of US researchers at the event "Conference on Algebraic Topology, Group Theory, and Representation Theory," which will be held June 9-15 2009. The conference is based on the observation that recent years have seen ever-increasing activity in the area common to the mathematical fields of algebraic topology on one hand, and group and representation theory on the other hand. Topics where these areas have converged include the study of the homotopy theory classifying spaces of compact Lie groups, fusion systems, and local-global themes in group theory. The conference will bring together researchers in these fields of mathematics to share and discuss current developments, in order to stimulate activity and enhance interaction.New approaches and solutions to existing problems are often developed by such interactions between different but related fields. The "Conference on Algebraic Topology, Group Theory, and Representation Theory" in June 2009 will bring together researchers in these three areas, which have experienced exciting and sometimes unexpected common threads. The organizers expect around 100 participants at the conference, a significant number of whom will be early in their careers. As the interaction between the disciplines represented in the conference is relatively new, it should be very attractive to young researchers, who will be exposed to a variety of approaches by their attendance.