Sixth Workshop on Lie Theory and Geometry

沃尔夫该奖项旨在为20位美国数学家(4至5位资深主讲人和其他初级主讲人)提供部分支持，让他们参加2007年11月12-16日在阿根廷科尔多瓦举行的第六届李氏理论和几何研讨会。李理论和微分几何在数学和物理的许多活跃部分扮演着紧密交织的中心角色。在过去的二十年里，美国和阿根廷的数学家在这些领域进行了高度的互利合作。一系列关于李氏理论和几何的研讨会为这些科学交流提供了工具，对美国和南美的数学家来说也是平等的。工作坊计划将强调四个主要领域及其相互作用：(1)李群的表示理论，(2)逆谱几何，(3)几何结构(即齐次空间)，以及(4)李群在数论中的应用。工作坊将讨论主要领域的最新进展，加强现有的努力，并建立新的合作，以解决主要的公开问题。拟议活动的更广泛影响包括在美国阿根廷目前的一些研究项目中取得进展，扩大许多美国年轻数学家的数学视野，以及加强西半球的科学联系。美国和阿根廷数学界之间进行了广泛而富有成效的合作，有时还涉及欧洲研究人员，我们此次研讨会的目标之一是向更多的美国年轻数学家开放这些合作机会。将积极寻求和鼓励妇女和少数群体的参与。

AbstractWolfThis award is to provide partial support for twenty U.S. mathematicians (four or five senior principal speakers and the others junior) to participate in the Sixth Workshop on Lie Theory and Geometry to be held in C'ordoba, Argentina, November 12-16, 2007. Lie theory and differential geometry play tightly intertwined central roles in many active parts of mathematics and physics. Over the last twenty years there has been a high level of mutually beneficial collaboration in these areas between U.S. and Argentine mathematicians. A series of workshops on Lie theory and geometry has been instrumental for those scientific exchanges, and of equal benefit to U.S. and South American mathematicians. The workshop program will emphasize four main areas and their interactions: (1) representation theory of Lie groups, (2) inverse spectral geometry,(3) geometric structures (i.e. homogeneous spaces), and (4) applications of Lie groups to number theory.The workshop will address recent advances in the main areas and strengthen existing efforts as well as forge new collaborations to address major open problems. The broader impacts of the proposed activity include advances in a number of current U.S. Argentine research projects, expansion of the mathematical horizons of many younger U.S. mathematicians, and strengthening of scientific ties in the western hemisphere. There has been extensive fruitful collaboration between the U.S. and Argentine mathematical communities, sometimes involving European researchers, and one of our goals for this workshop is to open up these collaborative opportunities to more young U. S. mathematicians. Participation by women and minorities will be actively sought and encouraged.