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Séminaire Géométrie et théorie des modèles

Horaires : Le vendredi 09 décembre 2016, 16h

Lieu : ENS, salle W

Uniform analytic properties of representation zeta functions of groups

Christopher Voll (Bielefeld)

Representation zeta functions of groups are Dirichlet-type generating functions enumerating the groups' finite-dimensional irreducible complex representations, possibly up to suitable equivalence relations. Under favourable conditions, these zeta functions satisfy Euler products whose factors are indexed by the places of number fields. I will discuss how p-adic integrals can be used to study these Euler products and how this sometimes allows us to capture some key analytic properties of representation zeta functions of groups.

 

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