International Conference on Geometry and Analysis of Manifolds

国际流形几何与分析会议

• 批准号: 0712865
• 负责人: Xianzhe Dai
• 金额: --
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-04-01 至 2010-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0712865&HistoricalAwards=false
• 关键词: International; Conference; Geometry; Analysis; Manifolds

This project co-sponsors a conference titled ``An international conference on Geometry and Analysis on Manifolds", which will take place from April 8, 2007 to April 14, 2007 at the Chern Institute of Mathematics in Tianjin, China. Its scientific focus will be the current and future development of geometry and analysis on manifolds, especially those related to the Atiyah-Singer index theory. Key topics include Aityah-Singer index theorems, Witten deformation, hypoelliptic Laplacian, geometric invariants, twisted K-theory, geometry and topology of gerbes, symplectic geometry, spin geometry and application of Dirac operators. The conference will also honor Jean-Michel Bismut, one of the leading researchers in the field. The purpose of the conference will be threefold. First, to highlight the recent major developments in geometry and analysis on manifolds, such as Bismut's hypoelliptic Laplacian and Donaldson's work; secondly, to bring together leading experts in the field and survey the recent remarkable progress and point to new directions; third, to nurture and encourage young researchers and advanced graduate students by providing them with an opportunity to have direct contact with the leading researchers and with each other, and foster good opportunities for future collaboration.

该项目共同主办了一次题为“流形几何与分析国际会议”的会议，会议将于2007年4月8日至2007年4月14日在中国天津陈省身数学研究所举行。 它的科学重点将是几何和流形分析的当前和未来发展，特别是与Atiyah-Singer指数理论有关的那些。主要课题包括Aityah-Singer指数定理、维滕变形、亚椭圆拉普拉斯算子、几何不变量、扭曲K理论、格贝斯的几何和拓扑、辛几何、自旋几何和狄拉克算子的应用。会议还将授予该领域的主要研究人员之一让-米歇尔·比斯穆特荣誉。会议的目的有三个方面。首先，突出最近的主要发展，几何和分析流形，如比斯穆特的亚椭圆拉普拉斯和唐纳森的工作;其次，汇集了领先的专家在该领域和调查最近的显着进展，并指出新的方向;第三，培养和鼓励年轻研究人员和高级研究生，为他们提供与主要研究人员直接接触的机会，彼此合作，并为未来的合作创造良好的机会。