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Conference on Differential Geometry

微分几何会议

基本信息

批准号：
1603351
负责人：
Xiuxiong Chen
金额：
$ 3.06万
依托单位：
SUNY at Stony Brook
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2016
资助国家：
美国
起止时间：
2016-03-01 至 2018-02-28
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1603351&HistoricalAwards=false
关键词：
Conference Differential Geometry

项目摘要

The Differential Geometry conference will take place in Montreal, Canada, from July 5 - 10, 2016. The primary aim of this event is to gather together leading experts in Differential Geometry, Geometric Analysis, and Mathematical Physics. The dual aim is to expose graduate students and young mathematicians in the USA and Canada to the new developments. Participation by both U.S. researchers and graduate students is crucial and is greatly encouraged. As a branch of Mathematics, Differential Geometry studies the shapes of spaces through distances and angles. The key concept involved is that of a so-called curvature, the simplest kind being the scalar curvature function on a space. The existence of a constant scalar curvature metric, the twistor theory and the special structure in geometry and physics are of major importance in Differential Geometry. It lies in the inter-play of geometry and physics, thus it naturally has impacts in both differential geometry and physics. Moreover, the main topics of the proposed conference has impacts on algebraic geometry and partial differential equations. In recent years, important progress has been made in the understanding of the geometry of 4-manifolds where we have seen fundamental progress in the theory of self-dual and Einstein metrics, Seiberg-Witten theory, the Yamabe problem on 4-manifolds, and the Calabi problem in Kahler geometry. The conference centers around the topics below (but not limited to): (1) special structures in geometry and physics; (2) complex methods in conformal geometry and twistor theory, and (3) extremal Kahler metrics.For details, please check the webpage http://www.crm.umontreal.ca/2016/LeBrunFest16/aidAutreLEBRUN_e.php.

微分几何会议将于2016年7月5日至10日在加拿大蒙特利尔举行。本次活动的主要目的是聚集在微分几何，几何分析和数学物理的领先专家。双重目标是让美国和加拿大的研究生和年轻数学家了解新的发展。美国研究人员和研究生的参与至关重要，并受到极大的鼓励。微分几何是数学的一个分支，它通过距离和角度来研究空间的形状。所涉及的关键概念是所谓的曲率，最简单的是空间上的标量曲率函数。常数量曲率度量的存在性、扭量理论以及几何和物理中的特殊结构是微分几何的重要内容。它存在于几何与物理的相互作用之中，自然对微分几何和物理都有影响。此外，拟议会议的主要议题对代数几何和偏微分方程有影响。近年来，在4-流形几何的理解方面取得了重要进展，我们已经看到自对偶理论和爱因斯坦度量，Seiberg-Witten理论，4-流形上的Yamabe问题和Kahler几何中的Calabi问题的基本进展。会议围绕以下主题（但不限于）：（1）几何和物理中的特殊结构;（2）共形几何和扭量理论中的复杂方法;（3）极值Kahler度量。http://www.crm.umontreal.ca/2016/LeBrunFest16/aidAutreLEBRUN_e.php