## Golden Gates in PU(n) and the Density Hypothesis.

Shai Evra

Member, School of Mathematics

September 26, 2019

In their seminal work from the 80’s, Lubotzky, Phillips and Sarnak gave explicit constructions of topological generators for PU(2) with optimal covering properties. In this talk I will describe some recent works that extend the construction of LPS to higher rank compact Lie groups.