Effective resistance and points of small height
Harry Richman博士NCTS博士後研究員 15:30-17:00 Hongjing Hall M107
Abstract：
In an electrical network with multiple resistors, it is a classical result of Kirchhoff that the effective resistance between two points can be expressed as a ratio of spanning tree counts. More recently, effective resistances have been used to define a notion of curvature on a graph, which induces a curvature flow, analogous to Ricci flow on manifolds. We will describe some results about this flow, joint with several collaborators, including examples and applications. This notion of graph curvature was motivated by some earlier ideas from arithmetic geometry via tropicalization.