Riemannian Topology and Geometric Structures on Manifolds

该提案为“流形上的黎曼拓扑和几何结构”会议的组织申请资金，该会议将于2006年10月10-14日在新墨西哥大学阿尔伯克基市举行。本次会议的目的是为讨论正截面曲率、Kaehlerand Sasakian几何以及它们与数学物理，特别是M和超弦理论的相互关系的最新进展提供一个论坛。我们打算创建并提供一个平台来讨论这些基本思想，它们在最近的过去经历的增长，以及感兴趣的开放问题。会议计划联合世界各地的专家、新墨西哥大学当地小组的成员、研究生和来自全国各地的年轻数学家，创造一个互动的环境，讨论和理解数学和理论物理这些不同分支的进展，牢牢掌握他们的许多最新成果，并讨论可行的方法来解决一些有趣的开放性问题。要大力鼓励全国各地的数学家，特别是洛基山区为数众多的少数民族数学家的参与。这一活动的影响预计将是持久的，因为它的结果将迅速传播，在会议完成后不久就向科学界提交了会议的论文集。

DMS-0623676Santiago SimancaThis proposal requests funding for the organization of the conference"Riemannian Topology and Geometric Structures on Manifolds," to be heldat the University of New Mexico, Albuquerque, Oct. 10-14, 2006. The objective of this meeting is to provide a forum for the discussion ofrecent advances in the areas of positive sectional curvature, Kaehlerand Sasakian geometry, and their interrelation to mathematical physics,especially M and Superstring theory. We intend to create and provide aplatform for the discussion of these fundamental ideas, the growth theyhave experienced in the recent past, and the open problems of interest.The conference plans to unite a range of worldwide experts, members ofthe local group at UNM, and graduate students and young mathematiciansfrom across the country and beyond, to create an interactive environment for the discussion and understanding of advances in these various branches of mathematics and theoretical physics, for the firm grasp of their many recent results, and for the discussion of plaussible approachesto attack a number of interesting open questions. Strong effort is to be made to encourage the participation of mathematicians from all over the nation, and in particular those belonging to the large minority populationof the Rocky mountain area. The impact of this activity is expected to be made long lasting by the prompt dissemination of its results, presentingthe scientific community with the Proceedings of the conference shortlyafter its completion.