## Graphs, vectors and integers

Noga Alon

Tel Aviv University; Visiting Professor, School of Mathematics

December 1, 2014

The study of Cayley graphs of finite groups is related to the investigation of pseudo-random graphs and to problems in Combinatorial Number Theory, Geometry and Information Theory. I will discuss this topic, describing the motivation and focusing on several results that illustrate the interplay between Graph Theory, Geometry and Number Theory.