Logic Seminar: Sofic groups and applications

September 7, 2022, 1:10-2:00pm | Carver 401

Speaker: Peter Burton (Iowa State University)

Abstract: We will introduce the concept of soficity for a countable discrete group, which generalizes both residual finiteness and amenability. Notably, it is a major open problem to determine whether every countable group is sofic, although the answer is widely believed to be negative. The primary relevance of the assumption that a group is sofic is to ensure that various computations related to its symbolic dynamics and ergodic theory have the expected results, and we will sketch how these arguments proceed.