International Conference on Analysis and Geometry on Graphs and Manifolds

这笔赠款资助来自美国的参与者参加国际会议“分析和几何图形和流形”将于2017年7月31日至8月4日在波茨坦大学在德国举行的旅行。 本次会议的重点是连续和离散环境中分析与底层空间几何形状之间的相互作用。 一个主要目标是将来自这两个不同框架的专家聚集在一起，以便交流想法并开发统一方法的技术。 会议将重点讨论离散和连续设置的原型，即图形和流形。 这两种设置有一个相关的拉普拉斯和狄利克雷形式，这是非本地的情况下，图形和强本地的流形的情况下。 因此，虽然在设置和提问方面有许多共同点，但技术往往截然不同，两者之间没有直接的相似之处。 最近在离散设置中的曲率和内在度量概念方面的进展使人们对这两种设置之间的相似性和差异有了更好的概念性理解;然而，统一的观点仍然不完整。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/