Speaker: Tobias Rossmann (Bielefeld)

Title: Computing Zeta Functions of Groups, Algebras, and Modules


We describe a method for computing generic local zeta functions arising from various algebraic counting problems such as the enumeration of subgroups, subalgebras, or representations. Using this method, we can, for instance, compute the generic local subalgebra zeta functions associated with the Lie algebra \(\mathfrak{gl}_2(\mathbf{Q})\).