Pure Maths Colloquium: Representation growth of compact p-adic Lie groups
22 October 2007 16:15 in CG 91
Representation growth is a comparatively new direction in Asymptotic Group Theory. After a brief introduction to the subject, I will report on a joint project with Christopher Voll. We are currently investigating the representation growth zeta functions of compact $p$-adic Lie groups. In my talk I will present recent results and discuss open problems. In particular, I will explain how to establish functional equations for zeta functions which arise in a suitable global setting. As I will indicate in my talk, this makes use of the orbit method and techniques from the subject of Igusa local zeta functions.
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