Linear Algebra and Applications Graduate Summer School

主要研究人员：霍本，莱斯利提案编号：DMS-0753009机构：爱荷华州立大学标题：线性代数与应用暑期班：附加基金线性代数在数学和其他许多学科中都是一个重要的学科。它被几乎所有的数学家、统计学家、物理学家、生物学家、计算机科学家、工程师和社会科学家使用。正如第一学期微积分的基本思想(用函数的切线逼近函数的图形)提供了关于函数的信息一样，线性化的过程通常允许用更容易处理的线性问题来逼近困难的问题。这可以提供对原始问题的洞察，并得益于功能越来越强大的计算机，提供原始问题的近似解决方案。线性代数的基本性质和它的许多应用使它成为研究生暑期项目的理想主题。2008年数学及其应用研究所(IMA)参与的机构将于2008年6月29日至7月26日在爱荷华州立大学举行`‘线性代数及其应用’暑期研究生项目。IMA将支付主讲人的所有费用，以及参加这个暑期研究生项目的40所IMA参与机构中每所学校最多两名学生的所有费用。该项目将为另外12名来自非IMA美国院校的研究生提供支持，并为一名博士后助理提供工资，后者将担任研究生的导师。申请将透过线性代数及应用研究生院网站http://www.ima.umn.edu/2007-2008/PISG6.30-7.25.08/The进行。主办机构为何国荣、高礼文及潘耀东。主要讲者和他们的主题是：怀俄明大学的Bryan Shader，线性代数和组合学的应用，华盛顿州立大学的David S.Watkins，数值线性代数，威廉和玛丽学院的李启光，科学和工程中的矩阵不等式和方程，德国奥格斯堡大学的弗里茨·科隆尼乌斯，线性代数在动力系统中的应用。上午的讲座和下午的学生将在博士后助理Jason Grout的指导下分组工作。每周，学生将学习必要的背景知识，以解决周末提出的当前研究问题。线性代数和应用研究生院暑期学校将帮助培养未来的美国数学科学家。NSF的这笔资金将扩大暑期学校的参与范围，从而扩大其影响，并允许更多样化的学生群体参加，因为组织者现在将向IMA参与机构以外的代表性较低的学生群体广泛宣传暑期学校。

ABSTRACTPrincipal Investigator: Hogben, Leslie Proposal Number: DMS - 0753009 Institution: Iowa State University Title: Linear Algebra and Applications Graduate Summer School: Additional FundingLinear algebra is a subject of central importance in both mathematics and a variety of other disciplines. It is used by virtually all mathematicians and by statisticians, physicists, biologists, computer scientists, engineers, and social scientists. Just as the basic idea of first semester differential calculus (approximating the graph of a function by its tangent line) provides information about the function, the process of linearization often allows difficult problems to be approximated by more manageable linear ones. This can provide insight into, and, thanks to ever-more-powerful computers, approximate solutions of the original problem. The fundamental nature of linear algebra and its many applications make this an ideal theme for a summer program for graduate students.The 2008 Institute for Mathematics and its Applications (IMA) Participating Institutions Summer Graduate Program on ``Linear Algebra and Applications'' will be held Iowa State University June 29 - July 26, 2008. The IMA will pay all costs for the principal speakers and all expenses for up to two students from each of the 40 IMA participating institutions to this Summer Graduate Program. This project will provide support for an 12 additional graduate students from non-IMA US institutions, and salary for a post-doctoral associate who will serve as a mentor to the graduate students. Applications will be taken through the Linear Algebra and Applications Graduate Summer School website http://www.ima.umn.edu/2007-2008/PISG6.30-7.25.08/The program organizers are Leslie Hogben, Wolfgang Kliemann and Yiu-Tung Poon. The the principal speakers and their topics are:Bryan Shader, University of Wyoming, Linear algebra and applications to combinatorics.David S. Watkins, Washington State University, Numerical Linear Algebra.Chi-Kwong Li, College of William and Mary, Matrix inequalities and equations in science and engineering.Fritz Colonius, University of Augsburg, Germany, Applications of linear algebra to dynamical systems.Lectures will be presented in the mornings and students will work in groups in the afternoons, supervised by post-doctoral associate Jason Grout. Each week the students will learn the necessary background to attack current research problems presented at the end of the week.The Linear Algebra and Applications Graduate Summer School will help to educate future US mathematical scientists. This NSF funding will broaden participation in the summer school and will hence magnify its impact and allow a more diversified group of students to participate, since the organizers will now advertise the summer school broadly also to underrepresented groups of students outside of the IMA participating institutions.