Speaker：Bobo Hua（Fudan University）

Time：2022-03-31, 16:30

Location：Tencent Meeting ID： 264274527（No Password）

Abstract:

   Graphs are the classical objects in Combinatorics, arising from discretization of Riemannian manifolds, Cayley graphs of discrete groups, data structure in the real world. Discrete geometric analysis is to find discrete curvature on graphs and to study graph structure from the viewpoint of geometric analysis. In this talk, we introduce various definitions of discrete curvature on graphs and study the geometric and analytic properties of graphs with nonnegative curvature, in order to prove global phenomenon of discrete harmonic functions and solutions to discrete heat equations, such as Liouville type theorems.