Speaker: Melanie Matchett Wood (Harvard)

Title: Universality for distributions of groups and algebraic objects

Abstract:

Arithmetic statistics has led to the study of many distributions of algebraic objects, including distributions of abelian groups, non-abelian groups, modules and more.  We discuss universality results showing that many different constructions of random abelian groups lead to the same asymptotic distributions, and discuss the conjectural landscape for universality for distributions of non-abelian random groups and more general algebraic objects.