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Representation zeta functions

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  • UserAlexander Stasinski (Durham)
  • ClockTuesday 06 November 2012, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Teruyoshi Yoshida.

Representation zeta functions are Dirichlet series whose n-th coefficient is the number of irreducible n-dimensional representations of a given group, assuming that this number is finite. A variant of this is the zeta functions of nilpotent finitely generated torsion-free groups which count representations up to one-dimensional twists. I will give a survey of recent results about representation zeta functions of arithmetic, compact p-adic and nilpotent groups.

This talk is part of the Number Theory Seminar series.

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