Algebraic Combinatorics Seminar - Jason Bell

Title: The growth of groups and algebras

Abstract:

We give an overview of the theory of growth functions for associative algebras and explain their significance when trying to understand algebras from a combinatorial point of view.  We then give a classification for which functions can occur as the growth function of a finitely generated associative algebra up to asymptotic equivalence. This is joint work with Efim Zelmanov.