International Conference on Geometry and Analysis of Manifolds

本项目将于2007年4月8日至14日在天津中国陈氏数学研究所共同主办一次名为“流形几何与分析国际会议”的会议。它的科学焦点将是几何和流形分析的当前和未来的发展，特别是那些与Atiyah-Singer指数理论有关的发展。主要内容包括Aityah-Singer指数定理，Witten变形，亚椭圆拉普拉斯，几何不变量，扭曲K-理论，Gerbe的几何和拓扑，辛几何，自旋几何和Dirac算子的应用。会议还将向该领域的领先研究人员之一让-米歇尔·毕穆特致敬。会议的目的将有三个方面。第一，重点介绍几何和流形分析方面最近的重大发展，如毕穆特的亚椭圆拉普拉斯和唐纳森的工作；第二，聚集该领域的主要专家，回顾最近的显著进展，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，为他们提供直接接触领先研究人员和彼此之间的机会，并为未来的合作培养良好的机会。

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.