Representations of Riemannian Geometry Conference

该奖项为参加将于2017年8月10日至13日在宾夕法尼亚州费城圣约瑟夫大学举行的黎曼几何会议的代表提供支持。会议的重点是全球黎曼几何的现代发展以及全球度量几何和拓扑学之间的关系。在最近的过去，这些领域在数学上的几项突破中非常重要。例如，几何分析和度量几何的方法对于证明著名的庞加莱猜想至关重要，该猜想可以追溯到1900年，是迄今为止唯一一个被解决的千禧年奖问题。这些数学领域也有许多应用，例如在物理、化学、工程和大数据分析方面。这笔资金将帮助包括研究生和博士后在内的早期数学家参与进来。将特别注意查明和支持妇女和任职人数不足群体的其他成员。将有初级研究人员和研究生的演讲机会，以及一整天的介绍性演讲，目的是吸引更广泛的听众。会议将包括在几个研究领域工作的演讲者和与会者，从而进一步鼓励交叉合作。会议将有11位全体演讲者参加，在演讲之间有充足的时间鼓励讨论和思想交流。此外，还将有三场由研究生做的演讲。会议代表的技术领域包括全球黎曼几何的几个领域：具有下曲率界限的空间的对称性、特殊的黎曼度量(特别是爱因斯坦度量、Kähler度量和翘曲积)、球面的调和自映射族、球面的叶、射影和保形几何、轨道空间上的齐次Ricci流和等距流、等参超曲面、路径空间和闭测地线。这些领域之间的重叠使与会者之间真正有可能进行交叉合作，会议活动将把领先的专家、青年研究人员和学生聚集在一起，促进传播最近的研究进展，并讨论未来的方向和有待解决的问题。会议的网页可在以下网址获得：http://palmer.wellesley.edu/~geom-conf/

This award provides support for participation in the Representations of Riemannian Geometry Conference, to be held August 10-13, 2017 at Saint Joseph's University in Philadelphia, PA. The conference focuses on modern developments in global Riemannian geometry and the relationship between global metric geometry and topology. In the recent past these fields were very important in several breakthroughs in mathematics. For example, methods from both geometric analysis and metric geometry were crucial for the proof of the famous Poincaré conjecture, which goes back to the year 1900 and is the only one of the Millennium Prize problems to be solved to date. These areas of mathematics also have many applications, for example to physics, chemistry, engineering, and big data analysis. This funding will help to involve early-career mathematicians, including graduate students and postdocs. Special attention will be devoted to identifying and supporting women and other members of underrepresented groups. There will be speaking opportunities for junior researchers and graduate students, as well as a full day of introductory talks with the goal of attracting a broader audience. The conference will include speakers and participants who work in several research areas, thus further encouraging cross-collaborations. The conference will feature eleven plenary speakers with plenty of time between talks to encourage discussion and the interchange of ideas. Additionally, there will be three talks given by graduate students. The technical areas represented by the conference include several areas of global Riemannian geometry: symmetries of spaces with lower curvature bounds, special Riemannian metrics (especially Einstein metrics, Kähler metrics, and warped products), families of harmonic self-maps of spheres, foliations of spheres, projective and conformal geometry, homogeneous Ricci flow and isometric flow on orbit spaces, isoparametric hypersurfaces, path spaces, and closed geodesics. The overlap between these areas makes very real the possibility for cross-collaboration among the participants, and the conference activities will bring together leading experts and young researchers and students, facilitating the dissemination of recent research progress and discussion of future directions and open problems.The conference webpage is available at: http://palmer.wellesley.edu/~geom-conf/