West Coast Algebraic Topology Summer School

西海岸代数拓扑暑期学校

• 批准号: 1106865
• 负责人: Dev Sinha
• 金额: $ 4万
• 依托单位: University of Oregon Eugene
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-06-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1106865&HistoricalAwards=false
• 关键词: West; Coast; Algebraic; Topology; Summer

AbstractAward: DMS-1106865Principal Investigator: Dev Sinha, Ralph CohenThe principal organizers will be program organizers for aone-week summer school program in algebraic topology, to behosted at the University of Oregon. This summer school will bringthirty graduate students and early-career mathematicians togetherfor an introduction to an area in topology which is ripe forinvestigation, and whose techniques will inform and inspiredevelopments throughout topology. This summer school will use aunique blend of pedagogical tools, combining elements which havebeen successful in other settings. Younger researchers will beinvolved with both organizing and giving talks. Attendees will beencouraged to work problems, fill in background, and do readingtogether in addition to attending lectures.The West Coast Topology Summer School continues a series thatbegan in summer 2010 and will strengthen the knowledge base oftopologists and others who use topology and build a cohort ofjunior researchers familiar with recent developments in thesubject. The program organizers of the Summer School are theprincipal investigators, together with Alejandro Adem of theUniversity of British Columbia and the Pacific Institute ofMathematical Sciences (PIMS). PIMS is a partner in the project,which will bring together US--based graduate students, largelyfrom the western United States, and Canadian graduate studentssponsored by PIMS. In its role as a basic study of shape,topology has significant ramifications in other areas ofmathematics, from basic counting problems (combinatorics) tosolutions of equations (algebra) to applications and extensionsof the calculus (analysis). More broadly, knowledge of topologyis essential for example in studying the structure of the earlyuniverse, in designing a robot arm with a minimal number ofcontrollers, and in searching large data sets for meaningfulgroupings as successfully done recently for study of breastcancer. This summer school will strengthen the ties between basicareas of theoretical mathematics. Mathematicians fromunderrepresented backgrounds will be vigorously recruited.Graduate students and post-docs will gain hands-on experiencewith some of the most important developments of contemporarymathematics, preparing them to be future leaders of the field.Participants will enlarge their professional networks, which isespecially critical given the geographical distances faced bymathematicians in the western half of North America. Organizersand participants will also have the opportunity to reflect uponthe array of pedagogical tools employed, and might employ somethemselves in training graduate students and undergraduates orreaching out to fellow scientists and the general public.

摘要：dms -1106865项目负责人：Dev Sinha， Ralph cohen主要组织者将是一个为期一周的代数拓扑暑期学校项目的组织者，该项目将在俄勒冈大学举办。这个暑期学校将把30名研究生和早期职业数学家聚集在一起，介绍拓扑学中一个成熟的研究领域，他们的技术将为整个拓扑学的发展提供信息和启发。这个暑期学校将使用独特的教学工具，结合在其他环境中成功的元素。年轻的研究人员将参与组织和发表演讲。除了参加讲座外，与会者还将被鼓励解决问题，填写背景资料，一起阅读。西海岸拓扑学暑期学校延续了始于2010年夏季的一系列课程，将加强拓扑学家和其他使用拓扑学的人的知识库，并建立一批熟悉该学科最新发展的初级研究人员。暑期学校的项目组织者和英属哥伦比亚大学的Alejandro Adem以及太平洋数学科学研究所（PIMS）共同担任主要研究人员。PIMS是该项目的合作伙伴，该项目将汇集美国的研究生，主要来自美国西部，以及由PIMS赞助的加拿大研究生。作为形状的基础研究，拓扑学在数学的其他领域有着重要的分支，从基本的计数问题（组合学）到方程的解（代数），再到微积分的应用和扩展（分析）。更广泛地说，拓扑知识是必不可少的，例如，在研究早期宇宙的结构，设计具有最少数量控制器的机械臂，以及在寻找有意义的分组的大型数据集（最近成功地用于研究乳腺癌）中。这个暑期学校将加强理论数学基础领域之间的联系。将大力招募来自代表性不足背景的数学家。研究生和博士后将获得一些当代数学最重要发展的实践经验，为他们成为该领域未来的领导者做好准备。参与者将扩大他们的专业网络，考虑到北美西半部数学家所面临的地理距离，这一点尤为重要。组织者和参与者也将有机会反思所使用的一系列教学工具，并可能在培训研究生和本科生或与同行科学家和公众接触时使用一些工具。