Mathematical Sciences Research Institute 5-Year Proposal

这是对数学科学研究所（MSRI）的更新建议，该研究所组织和主持各种数学家和数学科学家工作组，他们参加基础数学广泛活跃领域的研究和培训活动。 在学年的任何时候，MSRI都是来自全国各地和世界各地的80-90名领先的研究教授，成员，博士后研究员（以及大约15名研究生）的所在地，他们被组织成一个学期的课程（通常是两个，虽然偶尔会有一个）集中在一个特定的研究领域。 每个项目都有介绍和研究讲习班，研讨会和讲座，博士后指导以及成员之间的一般合作，目的是吸收和阐述该领域的最新成果，刺激新的研究和合作，并通过传统的出版渠道传播成果以及讲座视频流。未来三年的计划包括随机矩阵理论（2010），算术统计（2011）和定量几何（2012）。 除了长达一个学期的研究计划，MSRI每年组织和主办许多研讨会，使数学界受益;主题包括数学教育，数学，研究生和本科生培训和研究的最新突破，以及数学生物学。 由于这些综合活动，每年约有2000名数学科学家访问MSRI。 与此同时，在数学科学方面培训多样化的美国劳动力是一个高度优先事项，MSRI致力于增加妇女和其他代表性不足的群体参与其活动。加州伯克利的数学科学研究所（MSRI）是由NSF数学科学部支持的七个数学科学研究所之一（http：//mathinstitutes.org/）。 MSRI的基本使命是，首先，支持一流的数学研究和开发所需的人力资源，以维持和应用所产生的知识基础，其次，教育公众数学，其影响和联系。 MSRI通过汇集来自美国和世界各地的数学科学家访问团，支持促进数学科学基础研究的计划。 它举办为期一学期和一年的研究项目以及1至2周的研讨会，并对早期职业数学家进行指导和培训。 该计划围绕数学研究社区成员提出的主题组织，然后在MSRI科学咨询委员会的建议和指导下开发，该委员会由数学科学领导人组成。 这些程序来自广泛的数学领域，从数论（如2011年的算术统计程序）到与物理和计算相关的学科（如2012年的定量几何程序）。 MSRI网站（http：www.msri.org）介绍了即将到来的和过去的计划，征求未来计划的想法，提供研究所活动的申请表，并详细介绍了MSRI广泛的推广和教育活动，这有助于向公众展示数学在现代社会中的内在美和实用性。

This is a renewal proposal for the Mathematical Sciences Research Institute (MSRI), which organizes and hosts a variety of working groups of mathematicians and mathematical scientists, who participate in research and training activities on topics drawn from a broad spectrum of active areas in fundamental mathematics. At any given time during the academic year, MSRI is home to 80-90 leading research professors, members, postdoctoral fellows (as well as around 15 graduate students) from around the country and the world who are organized into semester-long programs (usually two, though, occasionally, one) concentrating in a particular research area. Each program features introductory and research workshops, seminars and lectures, postdoctoral mentoring, and general collaboration between members, with the goal of assimilating and expounding the latest results in the area, stimulating new research and collaborations, and disseminating the results, through traditional publication channels as well as video streaming of lectures. The programs for the next three years include random matrix theory (2010), arithmetic statistics (2011), and quantitative geometry (2012). In addition to the semester-long research programs, MSRI organizes and hosts many workshops each year that benefit the mathematics community; subjects include mathematics education, recent breakthroughs in mathematics, graduate and undergraduate training and research, and mathematical biology. As a result of these combined activities, about 2000 mathematical scientists each year visit MSRI. Meanwhile, the training of a diverse US workforce in the mathematical sciences is a high priority, and MSRI works to increase participation in its activities of women and other under-represented groups.The Mathematical Sciences Research Institute (MSRI) in Berkeley, CA is one of seven Mathematical Sciences Institutes (http://mathinstitutes.org/) supported by the NSF Division of Mathematical Sciences. The fundamental mission of MSRI is, first and foremost, to support first-rate mathematical research and to develop the human resources needed to sustain and apply the resulting knowledge base and, secondarily, to educate the public about mathematics, its impact and connections. The MSRI supports programs that promote fundamental research in the mathematical sciences by bringing together visiting groups of mathematical scientists from around the US and the world. It hosts semester- and year-long research programs as well as 1- to 2-week workshops, and it conducts mentoring and training of early-career mathematicians. The programs are organized around subjects proposed by members of the mathematics research community that are then developed with the advice and guidance of MSRI's Scientific Advisory Committee, which is comprised of leaders in the mathematical sciences. These programs come from a wide range of areas in mathematics, from number theory (such as the 2011 Arithmetic Statistics Program) to subjects connected to physics and computation (such as the 2012 Quantitative Geometry Program). The MSRI website (http://www.msri.org) describes upcoming and past programs, solicits ideas for future programs, offers application forms for Institute activities, and details MSRI's extensive outreach and education activities, which help expose to the public the inherent beauty and utility of mathematics in modern society.