IAS/Park City Mathematics Institute Mathematics Research Component

该项目是2004-2009年高级研究所/帕克城数学研究所（PCMI）数学课程的延续。三个项目，研究项目，研究生暑期学校和本科生暑期学校，围绕当代数学研究的一个单一领域组织，每年都有所不同。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。 由世界著名的数学家作为讲师和首席研究员领导，本提案中要求的三个项目中的每个项目都有30-70名参与者。在过去的13年里，PCMI（与其前身，NSF资助的区域几何研究所）已确立了自己作为国家暑期学校在高等数学，独特的整合本科学习，研究生学习，和数学研究活动，通过并行和综合方案的学习和研究。

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.