Graph Convergence, Parameter Testing and Group Actions

Special Computer Science/Discrete Mathematics Lecture
Topic:Graph Convergence, Parameter Testing and Group Actions
Speaker:Miklos Abert
Affiliation:Alfred Renyi Institute of Mathematics, Budapest
Date:Tuesday, March 20
Time/Room:3:15pm - 4:15pm/S-101

I will talk about two natural notions of convergence for sequences of graphs of bounded degree and their connection to groups and group actions. The first is Benjamini-Schramm convergence, which is strongly related to parameter testing. The second is local-global convergence, introduced by Hatami, Lovasz and Szegedy. I will discuss recent results on roots of graph polynomials (including the chromatic polynomial and Tutte polynomials), the combinatorics of expander graphings, and the geometry of locally symmetric spaces.