Speaker: Lev Glebsky
(Universidad Autonoma de San Luis Potosi):
Title:
Approximation of groups, characterizations of sofic groups, and equations over groups

Abstract:
Recently, a family of groups called sofic (coming from the word 'sofi' in Hebrew) has been defined. These groups possess many nice properties, and various widely open problems have an answer for them.

Amazingly, not a single example of a non-sofic group is known. I will present a couple of new characterizations of soficity, and discuss some applications to equations and approximations over groups.