Representation zeta functions of p-adic Lie groups

Tue, 20/01/2009
17:00
Benjamin Klopsch (Royal Holloway) Algebra Seminar Add to calendar L2
In a joint project with Christopher Voll, I have investigated the representation zeta functions of compact p-adic Lie groups. In my talk I will explain some of our results, e.g. the existence of functional equations in a suitable global setting, and discuss open problems. In particular, I will indicate how piecing together information about local zeta functions allows us to determine the precise abscissa of convergence for the representation zeta function of the arithmetic group SL3(Z).