International Conference on Analysis and Geometry on Graphs and Manifolds

这笔赠款用于支付美国与会者参加将于2017年7月31日至8月4日在德国波茨坦大学举行的“图形和流形上的分析和几何”国际会议的旅费。本次会议的重点是在连续和离散环境中分析和基础空间几何之间的相互作用。一个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。会议将聚焦于离散和连续环境的原型，即图形和流形。这两个设置都有一个关联的拉普拉斯和狄利克雷形式，在图的情况下是非局部的，在流形情况下是强局部的。因此，虽然在设置和提出的问题方面有许多共同点，但技术往往非常不同，两者之间没有直接的相似之处。最近在离散背景下曲率和内在度量概念方面的进展使人们在概念上更好地理解了这两种背景之间的异同；然而，统一的视角仍然不完整。会议的网站可在以下网址找到：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/