|Special Computer Science/Discrete Mathematics Lecture|
|Topic:||Graph Convergence, Parameter Testing and Group Actions|
|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.