Pure Maths Colloquium: Convergence of representation zeta series of Lie groups
11 May 2015 16:00 in CM221
Michael Larsen and Alexander Lubotzky have recently established the domain of convergence for a zeta series counting irreducible representations of simple Lie groups. Their result states that the domain is in certain sense maximal. By looking at more general Mellin-type zeta series, we have identified a necessary and sufficient condition for the maximality of the domain of convergence. This leads to a new proof of the Larsen-Lubotzky result, and one applicable in a more general context.
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