Speaker
Andreas Thom
(TU Dresden)
Description
Let $w$ be a non-trivial element of the free group. For $\varepsilon >0$, we prove that there exists an integer $N(\varepsilon,w)$ such that $w(G)$ is $\varepsilon$-dense in $G$, where $G$ is a finite simple group or compact Lie group of rank $N(\varepsilon,w)$ endowed with its natural bi-invariant metric. This confirms metric versions of a conjectures by Shalev and Larsen.
