Department of Mathematics
Title : Exceptional primes and representation growth of T-groups
| Speaker: Shannon Ezzat Affiliation: University of Auckland Time: 14:00 Tuesday, 22 May, 2012 Location: 303-412 |
Abstract
| Representation growth is a branch of asymptotic group theory that uses zeta functions to study the number of (sometimes equivalence classes of) irreducible representations of various infinite groups. For finitely generated torsion-free nilpotent groups (or T-groups for short), these representation zeta functions have a p-local Euler factorization over the rational primes. Voll has developed a method, based on the co-adoint orbit methods of Kirillov and Howe, to study most of these p-local representation zeta functions for T-groups. However, this method is unable to be applied to a finite number of primes. This talk will present some work of my PhD thesis, in which I use a constructive method to calculate global representation zeta functions of some T-groups, including p-local factors that are unable to be calculated using Voll's machinery. I will also talk about some of the history of the subject and also talk about its predecessor, subgroup growth. |
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Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
