Representation growth of finitely generated nilpotent groups
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Tue, 05/05/2009 17:00 |
Christopher Voll (Southampton) |
Algebra Seminar  |
L2 |
| 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. | |||