Characters of groups, stability and sofic dynamical systems
Arie Levit (Tel-Aviv University)
Thursday, May 19, 2022, 11:10 – 12:00, -101
We study the character theory of infinite solvable groups, focusing on the metabelian and polycyclic cases. This theory has applications towards the Hilbert-Schmidt stability of such groups - whether almost-homomorphisms into the unitary groups U(n) are nearby honest homomorphisms? We explore an interesting link between stability and topological dynamics via a notion of “sofic dynamical systems”. I will introduce all relevant notions.
The talk is based on a joint work with Itamar Vigdorovich.