Travel Grant for International Conference on Algebraic Topology

该提案设想支持参加2007年10月19日至24日在突尼斯杰尔巴举行的代数拓扑学国际会议的旅费。会议的主要焦点将集中在与Steenrod代数上的分类空间、映射空间、p-紧群、p-局部有限群和不稳定模的研究有关的同伦理论的最新进展上。一些感兴趣的领域超越了研究的边界：p-紧群的研究涉及几何，p-局部有限群的研究涉及有限群理论和模表示理论，而Steenrod代数上的不稳定模的研究涉及不变理论。会议的目的是巩固这些最新进展，促进这些领域的研究人员之间的交流，为未来的研究确定方向，并加强与其他领域的联系。数学的两个主题是几何和代数。几何学及其变体，如拓扑学，涉及更高维度的形状及其经常微妙的区别性质的研究。另一方面，代数研究的是普通数及其推广。代数拓扑学是一个混合领域，本质上是寻找从形状中提取有趣的数字信息的方法。最近在研究几何对称性的代数拓扑学部分有了很大的进展。这项提议的目的是为研究人员参加专门介绍和讨论这些进展的国际会议提供支持。会议还将有助于建立和加强美国、欧洲和北非数学家之间的联系。

The proposal envisions supporting travel to an international conference on algebraic topology to be held in Djerba, Tunisia, October 19-24, 2007. The principal focus of the conference will be on recent advances in homotopy theory connected with the study of classifying spaces, mapping spaces, p-compact groups, p-local finite groups, and unstable modules over the Steenrod algebra. Several of the areas of interest transcend research boundaries: the study of p-compact groups touches on geometry, the study of p-local finite groups involves finite group theory and modular representation theory, while the study of unstable modules over the Steenrod algebra impinges on invariant theory. The purpose of the conference is to consolidate these recent advances, facilitate communication between researchers in these areas, set directions for future research, and strengthen the connections with other fields.Two of the main themes in mathematics are geometry and algebra. Geometry, and its variants, such as topology, involve the study of higher dimensional shapes and their frequently subtle distinguishing qualities. Algebra, on the other hand, deals with ordinary numbers and their generalizations. Algebraic topology is a hybrid area which essentially looks for ways to extract interesting numerical information from shapes. Recently there have been major advances in the part of algebraic topology that is concerned with studying geometrical symmetries. The purpose of this proposal is to provide support for travel by researchers to an international conference devoted to presenting and discussing these advances. The conference will also contribute to establishing and reinforcing contacts between US, European, and North African mathematicians.