Seminar series
Date
Tue, 05 May 2009
Time
17:00 -
18:00
Location
L2
Speaker
Christopher Voll
Organisation
Southampton
The study of representation growth of infinite groups asks how the
numbers of (suitable equivalence classes of) irreducible n-dimensional
representations of a given group behave as n tends to infinity. Recent
works in this young subject area have exhibited interesting arithmetic
and analytical properties of these sequences, often in the context of
semi-simple arithmetic groups.
In my talk I will present results on the representation growth of some
classes of finitely generated nilpotent groups. They draw on methods
from the theory of zeta functions of groups, the (Kirillov-Howe)
coadjoint orbit formalism for nilpotent groups, and the combinatorics
of (finite) Coxeter groups.