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Paula Lins: Bivariate representation and conjugacy class zeta functions of nilpotent groups
Zeta functions of groups are analytic functions encoding information on groups and group-related objects. In this talk, I will define two bivariate zeta functions related to representations and to conjugacy classes of finitely generated nilpotent groups. We shall see how they can be used to understand other (univariate) zeta functions of groups.I will present some of their arithmetic and analytic properties, such as Euler decompositions, rationality and functional equations of local factors, and domains of convergence and meromorphic continuation, pointing out differences and similarities between the bivariate and the univariate worlds.