West Coast Algebraic Topology Summer School

摘要奖：DMS-1106865主要研究人员：德夫·辛哈，拉尔夫·科恩主要组织者将是为期一周的代数拓扑学暑期学校项目的项目组织者，该项目将在俄勒冈大学主办。这个暑期班将有30名研究生和职业生涯早期的数学家聚集在一起，介绍拓扑学中的一个领域，该领域的研究已经成熟，其技术将在整个拓扑学中提供信息和启发重新开发。这个暑期学校将使用一种独特的教学工具，结合在其他环境中取得成功的元素。年轻的研究人员将参与组织和演讲。西海岸拓扑学暑期班延续了2010年夏天开始的一系列课程，将加强拓扑学家和其他使用拓扑学的人的知识基础，并建立一支熟悉该学科最新发展的初级研究人员队伍。暑期学校的项目组织者是首席研究人员，以及不列颠哥伦比亚大学和太平洋数学科学研究所(PIMS)的亚历杭德罗·阿德姆。PIMS是该项目的合作伙伴，该项目将汇集大部分来自美国西部的美国研究生和由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影响，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，拓扑学知识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，以及在大数据集上搜索有意义的分组是必不可少的，就像最近在乳腺癌研究中成功完成的那样。这个暑期班将加强理论数学基础领域之间的联系。来自代表性不足背景的数学家将被大力招募。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，为他们成为该领域的未来领导者做好准备。参与者将扩大他们的专业网络，考虑到北美西半部数学家面临的地理距离，这一点尤其关键。组织者和参与者还将有机会反思所使用的一系列教学工具，并可能雇用一些人自己培训研究生和本科生，或与科学家同行和普通公众进行接触。

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.