Local Approximation of Unimodular Random Networks
数学专题报告
报告题目(Title)：Local Approximation of Unimodular Random Networks
报告人(Speaker)：向开南 教授(湘潭大学)
地点(Place)：后主楼1225
时间(Time)：2023年3月11日(周六), 15:00-16:00
邀请人(Inviter)：何辉
报告摘要
In this talk, we will state one of the most important central open problems in the graph/network limit theory, called Aldous-Lyons Conjecture by L. Lovasz (2009), which says that any unimodular random network is a local limit of some finite network sequence. And we will explain in detail why the conjecture is greatly important whatever it is true or not; particularly why it will have far-reaching and extensive influences on probability theory, graph theory, combinatorics, group theory, operator algebra, dynamical system and ergodic theory if it holds. In conclusion, the conjecture is worth conquering by aspirants.
