EMSW21-RTG: Unified Approach to Training in Geometry

EMSW21-RTG：几何训练的统一方法

• 批准号: 0636557
• 负责人: Daniel Freed
• 金额: $ 125万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-06-01 至 2013-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0636557&HistoricalAwards=false
• 关键词: EMSW21; RTG; Unified; Approach; Training

AbstractAward: DMS-0636557Principal Investigator: Daniel S. Freed, Sean M. Keel,Lorenzo A. Sadun, Karen K. UhlenbeckThe UT Geometry Group Research Training Grant is a verticallyintegrated program to enhance the training of undergraduates,graduate students, and postdoctoral associates at the Universityof Texas and, through publication on the web, beyond. The ninefaculty members of the Group will initiate new activities at alllevels. Included is a new distinguished lecture series,Perspectives in Geometry, which will be widely disseminated. TheGeometry Group at UT has long taken a unified perspective on thefield. Our seminars reflect our approach: they include a healthymix of ideas from algebraic geometry, differential geometry,global linear and nonlinear analysis, representation theory, andtopology. Often concepts and inspiration from theoreticalphysics play a role as well. The RTG training activities aredesigned to promote this view of geometry and, more broadly, ofmathematics and science to young mathematicians.Mathematics, the study of Number and Space, lies at thefoundation of science and technology. Geometry, the study ofSpace, has long had connections with and applications to the realworld. In the ancient world measurement was introduced tofacilitate commerce; more advanced concepts, such astrigonometry, were introduced to understand the stars. In ourmodern world advanced ideas in Geometry underlie abstracttheories in physics and also have more immediate practicalimplications, for example in coding theory, computer graphics,etc. Effective training of the next generation of Geometers isvital for the continued development of this field, both withinmathematics and for external applications. The University ofTexas Geometry Group Research Training Grant (RTG) promotes aunified view of the field. Through local activities in Austin,and via dissemination on the web, the RTG will enhance trainingat all levels.

Abstractaward：DMS-0636557原理研究者：Daniel S. Freed，Sean M. Keel，Lorenzo A. Sadun，Karen K. Uhlenbeckthe UT几何学组研究培训补助金是一个垂直整合的计划，旨在增强本科生，研究生和博士学位的培训，超过大学，超过大学的培训。 该小组的九级教师将在Alllevels发起新的活动。 其中包括一个新的杰出讲座系列，《几何学观点》，将被广泛传播。 UT长期以来对Thefield的统一视角长期以来。 我们的研讨会反映了我们的方法：它们包括来自代数几何形状，差异几何，全球线性和非线性分析，表示理论和学科的思想的健康元。 理论生理学的概念和灵感通常也起作用。 RTG培训活动旨在促进年轻数学家的这种几何观点，更广泛地是对数学和科学的观点。MASSEMATICS，数量和空间的研究，是科学和技术的基础。 几何学是空间的研究，长期以来一直与现实世界有联系并应用。 在古老的世界中，进行了tofacilite贸易；引入了更高级的概念，例如这样的天体学，以了解星星。 在我们现代世界中的几何思想中，物理学的抽象理论是基础，并且在编码理论，计算机图形等方面也具有更直接的实用性。 有效地训练下一​​代的几何体，用于在数学内部和外部应用中持续发展该领域的持续发展。 oftexas大学几何组研究培训补助金（RTG）促进了对该领域的统一观点。 通过奥斯汀的本地活动以及通过网络传播，RTG将增强培训所有级别。