Effective resistance and points of small height
Release Date： 2025-09-03 Unit： Department of Mathematics
Professor：Dr. Harry Richman (NCTS-National Center for Theoretical Sciences)
Theme：Effective resistance and points of small height
Date：Sep. 11th (Thur) 15:30 p.m. ~ 17:00 p.m.
Location：Hong-Jing Building, 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.
Theme：Effective resistance and points of small height
Date：Sep. 11th (Thur) 15:30 p.m. ~ 17:00 p.m.
Location：Hong-Jing Building, 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.
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Updated: 2025-09-03
Category: Speech
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