Speaker: Alexander Retakh (MIT)
Title: Growth of groups and algebras
Abstract: Growth is a purely combinatorial invariant that can be defined for any algebraic structure with generators and relations. It appears simple; however, it has emerged as a powerful tool in the study of groups and noncommutative algebras. In this talk, I will define growth, review classification results in group theory and noncommutative algebra that are obtained with the use of growth theory, and describe several applications.