Conference and Summer School in Algebric Topology

摘要奖：DMS-0420383首席研究员：Haynes R.Miller该奖项资助于2004年8月在越南河内举行的拓扑学国际会议和暑期班的旅行，特别是初级研究人员的旅行。重点将集中在Steenrod代数在拓扑学和代数问题上的应用。三个短期课程将组成一个暑期班，在会议之前向学生介绍背景材料。会议将讨论西格尔猜想和Sullivan猜想的解的一些发展，主题可能包括一般线性群的不变理论和表示理论，多项式函子，Mac Lane同调，拓扑循环同调，p-紧群和p-局部有限群的研究，以及Burnside环在分类空间分裂中的应用。会议将汇集致力于拓扑学、表示论、不变论和群论的数学家。对这项工作的兴趣真正是全球性的：至少有21个国家雇佣了我们打算邀请的数学家。暑期学校将吸引年轻人，并丰富他们的实践。

AbstractAward: DMS-0420383Principal Investigator: Haynes R. MillerThis award funds travel, particularly by junior researchers, toan international conference and summer school on topology to takeplace in Hanoi, Vietnam, in August 2004. The focus will be onapplications of the Steenrod algebra to problems in topology andalgebra. Three short courses will form a summer school precedingthe conference to introduce students to background material. Anumber of the developments to be discussed in the conference growout of the solutions of the Segal Conjecture and the SullivanConjecture, and topics may include invariant theory andrepresentation theory of the general linear group, polynomialfunctors, Mac Lane homology, topological cyclic homology, thestudy of p-compact groups and p-local finite groups, and the useof the Burnside ring in splittings of classifying spaces.The conference will bring together mathematicians working intopology, representation theory, invariant theory, and grouptheory. The interest in this work is truly global: at least 21countries employ mathematicians we intend to invite. The summerschool will attract younger people and enrich the exprience forthem.