International Conference on Analysis and Geometry on Graphs and Manifolds

该基金资助来自美国的参与者参加将于2017年7月31日至8月4日在德国波茨坦大学举行的“图与流形上的分析与几何”国际会议。本次会议的重点是在连续和离散设置的基础空间的分析和几何之间的相互作用。主要目标是将这两个不同框架的专家聚集在一起，以便为统一的方法交流思想和开发技术。会议将集中讨论离散和连续设置的原型，即图形和流形。这两种设置都有一个相关的拉普拉斯和狄利克雷形式，在图的情况下是非局部的，在流形的情况下是强局部的。因此，虽然在设置和提问方面有许多共同点，但技术通常非常不同，两者之间没有直接的相似之处。在离散设置的曲率和固有度量的概念的最新进展导致了这两种设置之间的异同更好的概念性理解；然而，一个统一的视角仍然是不完整的。会议的网址是：http://www.math.uni-potsdam.de/professuren/graphentheorie/events/conference/

This grant funds the travel of participants from the United States to attend the international conference "Analysis and Geometry on Graphs and Manifolds" to be held from July 31 through August 4, 2017, at the University of Potsdam in Germany. The focus of this conference is the interplay between analysis and the geometry of the underlying space in both the continuous and discrete settings. A main goal is to bring experts from these two different frameworks together in order to exchange ideas and develop techniques for a unified approach. The conference will focus on the prototypes for the discrete and continuous settings, namely, graphs and manifolds. Both settings have an associated Laplacian and Dirichlet form which is non-local in the case of graphs and strongly local in the manifold case. Thus, while there are many commonalities in terms of set-up and questions asked, the techniques are often quite different with no direct analogues between the two. Recent advances in notions of curvature and intrinsic metrics in the discrete setting have lead to a better conceptual understanding of the similarities and differences between these two settings; however, a unified perspective is still incomplete.The conference website can be found at: http://www.math.uni-potsdam.de/professuren/graphentheorie/events/conference/