Mathematical Sciences: The 1996 Workshop on the Symbiosis of Topology and Group Theory; Septmeber 9-19, 1996; Mazama, Washington

小行星9626801 该奖项提供了部分支持1996年秋季研讨会的共生拓扑和群论。 该奖项是给波特兰州立大学的，但俄勒冈州大学和俄勒冈州州立大学的教师和研究生都很重 也参与其中。 其他参与者，包括研究生， 博士后和教师调查员，代表其他国家和外国 国家 以前同样性质的讲习班包括1993年在俄勒冈州举行的会议和更早在意大利卢塔赫举行的讲习班。 今年研讨会的地点是华盛顿的马扎马，位于北方喀斯喀特山脉。 研讨会计划从9月30日开始为期9天，这段时间允许详细的计划在一定程度上根据与会者抵达时表达的偏好进行调整。 受邀者具有量子群、低维拓扑、组合同伦、代数K理论和组合群论方面的专业知识。 目标是在以下领域取得进展：量子群作为拓扑阻塞群的应用、流形和2-复形的新分类方案、第二同伦群的新计算方法、进一步研究Kervaire-Laudenbach猜想、自动群工具在低维同伦理论中的应用以及与Whitehead的asphericity猜想有关的问题。 过去的经验表明，会产生意想不到的联系，而且这些联系至少与可以预见的联系一样重要。 ***

9626801 Latiolais This award provides partial support for the fall 1996 Workshop on the Symbiosis of Topology and Group Theory. The award is to Portland State University, but faculty and graduate students from the University of Oregon and Oregon State University are heavily involved as well. Additional participants, including graduate students, postdocs, and faculty investigators, represent other states and foreign countries. Previous workshops of the same nature include a 1993 conference in Oregon and earlier workshops in Luttach, Italy. The site of this year's workshop is Mazama, Washington, in the Northern Cascade Mountains. The workshop has been planned for nine days beginning September 30, and this duration allows the detailed program to evolve somewhat in response to preferences expressed by particpants upon their arrival. Those invited have expertise in quantum groups, low dimensional topology, combinatorial homotopy, algebraic K-theory, and combinatorial group theory. The goal is to obtain progress in areas relating to the application of quantum groups as topological obstruction groups, new classification schemes for manifolds and 2-complexes, new computational methods for the second homotopy group, further inroads on the Kervaire-Laudenbach conjecture, application of the tools of automatic groups to low dimensional homotopy theory, and issues relating to Whitehead's asphericity conjecture. Past experience suggests that unexpected connections will be made and that these will be at least as significant as any that could be foreseen. ***