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

数学科学：1996年拓扑与群论共生研讨会；

• 批准号: 9626801
• 负责人: Marion Latiolais
• 金额: $ 0.6万
• 依托单位: Portland State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-08-15 至 1997-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9626801&HistoricalAwards=false
• 关键词: Mathematical; Sciences; 1996; Workshop; Symbiosis

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. ***

9626801拉蒂奥莱该奖项为1996年秋季的拓扑学和群论共生研讨会提供了部分支持。该奖项授予波特兰州立大学，但俄勒冈大学和俄勒冈州立大学的教职员工和研究生也参与其中。其他参与者，包括研究生、博士后和教职调查人员，代表其他州和外国。之前的同类研讨会包括1993年在俄勒冈州举行的一次会议和更早的在意大利卢塔赫举行的研讨会。今年研讨会的地点是华盛顿州北部喀斯喀特山脉的马扎马。研讨会已经计划了9天，从9月30日开始，这一持续时间允许详细的计划在一定程度上发展，以回应颗粒裤子到达时表达的偏好。被邀请的学生在量子群、低维拓扑学、组合同伦、代数K-理论和组合群论方面都有专长。其目标是在量子群作为拓扑障碍群的应用、流形和2-复形的新分类方案、第二同伦群的新计算方法、Kervaire-Laudenbach猜想的进一步进展、自动机群工具在低维同伦理论中的应用以及与Whitehead猜想有关的问题上取得进展。过去的经验表明，将会出现意想不到的联系，这些联系将至少与任何可以预见的联系一样重要。***