Zeta functions

December 1-5, 2008, Moscow, Russia




Practical details


Pirita Maria Paajanen
The Hebrew University of Jerusalem, Israel
paajanen (at) math.huji.ac.il

Zeta functions as counting tools in group theory

Zeta functions appeared in group theory about 20 years ago, by Grunewald, Segal and Smith. They have proved useful as counting tools for various problems in group theory, from counting subgroups of infinite nilpotent groups, to counting finite p-groups and representations of arithmetic groups. Not only are they used as counting tools, but share many properties with other zeta functions, such as Euler product and functional equation. In this talk I will give an overview of different ways to associate zeta functions to groups and the rich theory that appears.

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