Colloquium: Kate Juschenko (Northwestern University) - "Cycling amenable groups and soficity"

Thu, 14/09/201714:30-15:30
IIAS hall, Hebrew University Jerusalem
I will give introduction to sofic groups and discuss a possible strategy towards finding a non-sofic group. I will show that if the Higman group were sofic, there would be a map from Z/pZ to itself, locally like an exponential map, satisfying a rather strong recurrence property. The approach to (non)-soficity is based on the study of sofic representations of amenable subgroups of a sofic group. This is joint work with Harald Helfgott.