International Conference on Geometry and Analysis of Manifolds

本项目将于2007年4月8日至4月14日在中国天津陈氏数学研究所共同主办“国际流形几何与分析会议”。它的科学重点将是几何和流形分析的当前和未来的发展，特别是与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、半椭圆拉普拉斯、几何不变量、扭曲k理论、gerbes的几何和拓扑、辛几何、自旋几何和Dirac算子的应用。会议还将表彰该领域的主要研究人员之一Jean-Michel Bismut。这次会议的目的有三个。首先，强调最近几何和流形分析的主要进展，如Bismut的准椭圆拉普拉斯和Donaldson的工作；第二，汇集该领域的主要专家，调查最近的显著进展并指出新的方向；第三，培养和鼓励年轻的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和相互接触的机会，并为未来的合作创造良好的机会。

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.