Title: The growth of groups and algebras
|Affiliation:||University of Waterloo|
|Zoom:||Contact Karen Yeats|
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.