Conference on Differential Geometry

微分几何大会将于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汇聚微分几何、几何分析和数学物理领域的顶尖专家。双重目标是让美国和加拿大的研究生和年轻数学家接触到新的发展。美国研究人员和研究生的参与至关重要，并受到极大鼓励。作为数学的一个分支，微分几何通过距离和角度研究空间的形状。所涉及的关键概念是所谓的曲率，最简单的一种是空间上的标量曲率函数。常标量曲率度量的存在、扭曲理论以及几何和物理中的特殊结构在微分几何中占有重要地位。它存在于几何学和物理学的相互作用中，因此它在微分几何和物理学中自然都有影响。此外，拟议会议的主要议题对代数几何和偏微分方程式也有影响。近年来，在对4维流形几何的理解方面取得了重要进展，其中自对偶理论和爱因斯坦度规理论、Seiberg-Witten理论、4维流形上的Yamabe问题以及Kahler几何中的Calabi问题都取得了根本性的进展。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)保角几何和扭曲理论中的复数方法；(3)极值卡勒度量。详情请访问网页http://www.crm.umontreal.ca/2016/LeBrunFest16/aidAutreLEBRUN_e.php.

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.