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参加将于2009年6月9日至15日举行的“代数拓扑、群论和表示论会议”提供支持。这次会议是基于观察，近年来已经看到不断增加的活动，在该地区共同的数学领域的代数拓扑一方面，和组和代表性理论的另一方面。这些领域融合的主题包括同伦理论的研究，紧李群，融合系统，以及群论中的局部-全局主题的分类空间。会议将汇集这些数学领域的研究人员，分享和讨论当前的发展，以激发活动和加强互动。新的方法和解决现有问题的方法往往是通过不同但相关领域之间的这种互动来开发的。2009年6月的“代数拓扑、群论和表示论会议”将汇集这三个领域的研究人员，这三个领域经历了令人兴奋的、有时是意想不到的共同线索。组织者预计约有100人参加会议，其中相当一部分人将处于职业生涯的早期。由于会议中所代表的学科之间的互动相对较新，它应该对年轻研究人员非常有吸引力，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.