Subgroup, Submodule and Representation Growth - Lecture 3

Watch a 57-minute lecture from the Combinatorial Methods in Enumerative Algebra program exploring subgroup, submodule and representation growth concepts. Delve into advanced algebraic counting problems and their relationship to generating functions, presented by Benjamin Klopsch at the International Centre for Theoretical Sciences. Learn how zeta functions serve as essential tools in asymptotic group theory and ring theory, with particular focus on their Euler product decompositions and rational local factors. Part of a comprehensive program bringing together experts in zeta functions, combinatorial areas, and enumerative algebra, this lecture contributes to the broader goal of training young researchers in asymptotic group and ring theory. Delivered at the Ramanujan Lecture Hall in ICTS Bengaluru as part of a series running from December 2-13, 2024.