IAS/Park City Mathematics Institute Mathematics Research Component

该项目是2004-2009年高级研究所/帕克市数学研究所(PCMI)数学方案的延续。三个项目，研究计划，研究生暑期学校和本科生暑期学校，是围绕当代数学研究的一个领域组织的，这一领域每年都不同。2004-08年的数学主题和组织者已经到位。所有项目每年7月在犹他州帕克城的一个会议中心举行，为期三周。在世界知名数学家的讲师和首席研究人员的带领下，这项提案要求的三个项目每个项目都有30-70个参与者。在过去的13年里，PCMI(与其前身NSF资助的区域几何研究所)建立了全国高等数学暑期学校，通过并行和整合的学习和研究计划，独特地将本科生学习、研究生学习和数学研究活动结合在一起。

This project is a continuation, for the years 2004-2009, of the mathematics programs of the Institute for Advanced Study/Park City Mathematics Institute (PCMI). Three programs, the Research Program, the Graduate Summer School and the Undergraduate Summer School, are organized around a single area of contemporary mathematical research, which varies from year to year.Mathematical topics and organizers for 2004-08 are in place. All programs take place for a three-week period each July in a conference center in Park City, Utah. Led by world-renowned mathematicians as lecturers and lead researchers, each of the three programs requested in this proposal has 30-70 participants.Over the last 13 years, PCMI (with its predecessor, the NSF-funded Regional Geometry Institute) has established itself as the national summer school in advanced mathematics, uniquely integrating undergraduate study, graduate study, and mathematical research activities via concurrent and integrated programs of study and research.