Subgroup, Submodule and Representation Growth - Lecture 2

Explore subgroup, submodule, and representation growth in this advanced mathematics lecture delivered by Benjamin Klopsch at the International Centre for Theoretical Sciences. Delve into combinatorial methods in enumerative algebra, focusing on algebraic counting problems and their relationship to generating functions. Learn how zeta functions serve as essential tools in asymptotic group theory and ring theory, with particular attention to their Euler product decompositions and rational local factors. Part of a comprehensive program bringing together experts in zeta functions, groups, rings, and combinatorial areas, this 54-minute lecture contributes to a broader discussion of outstanding problems in enumerative algebra. Designed for researchers and advanced students interested in asymptotic group theory, ring theory, and their intersections with combinatorial mathematics.