Future directions in global Riemannian geometry.

全球黎曼几何的未来方向。

• 批准号: 0606626
• 负责人: Vitali Kapovitch
• 金额: --
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-01 至 2007-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0606626&HistoricalAwards=false
• 关键词: Future; directions; global; Riemannian; geometry.

Title: Future directions in global Riemannian geometryThe last few years have seen remarkable progress in several subfields of global Riemannian geometry including the geometrization program, rigidity and finiteness theorems for manifolds with various curvature bounds, classification theorems for manifolds with large isometry groups etc. This conference will gather many of the people in the field who have made lasting contributions and present directions for future research. In particular, we expect to encourage and support graduate students and young researchers to attend this conference. The conference will give them an overview of techniques and methods in global Riemannian geometry. It will also provide them with an opportunity to have direct contact with the best researchers, with each other and foster good opportunities for collaboration.The proposal seeks funding for a mathematical conference entitled, ''Future directions in global Riemannian geometry''. The conference will be held September 22nd-September 24th, 2006 at the mathematics department of the University of Maryland, College Park. The conference is being held to celebrate the sixtieth birthday of renowned geometer Karsten Grove of the University of Maryland, College Park who has made seminal contributions to the study of global geometric properties of higher dimensional objects called Riemannian manifolds. The past few years have seen several exciting developments in Riemannian geometry and our goal is to encourage new ideas and more collaboration between graduate students, young researchers and other Riemannian geometers.

职务名称：在全球黎曼几何的未来方向在过去的几年里已经看到了显着的进展，在几个子领域的全球黎曼几何包括几何化程序，刚性和有限性定理流形与各种曲率界限，分类定理流形与大型等距群等这次会议将聚集许多人在该领域谁作出了持久的贡献和目前的方向为未来的研究。特别是，我们希望鼓励和支持研究生和青年研究人员参加这次会议。会议将为他们提供全球黎曼几何的技术和方法的概述。它还将为他们提供一个与最好的研究人员直接接触的机会，相互之间，并促进良好的合作机会。该提案为一个名为“全球黎曼几何的未来方向”的数学会议寻求资金。会议将于2006年9月22日至9月24日在马里兰州大学帕克分校数学系举行。这次会议是为了庆祝著名的几何卡斯滕格罗夫的马里兰州大学，学院公园谁作出了开创性的贡献，研究全球几何性质的高维物体称为黎曼流形的六十岁生日。 在过去的几年里已经看到了一些令人兴奋的发展黎曼几何和我们的目标是鼓励新的想法和更多的研究生，年轻的研究人员和其他黎曼geometers之间的合作。