## Edward Formanek (Pennsylvania State University)
## Friday 24th November, 12.05-12.55pm, Carslaw 373## Braid group representations of low degree
Let G be a finitely generated group. For a fixed integer n,
the equivalence classes of irreducible representations
G -> GL(n,C) form an algebraic variety. There are
only a few groups for which this variety is well understood. These
include finite groups, abelian groups, abelian-by-finite groups and
certain arithmetic groups, such as SL(n,Z) (n at least 3).
Although classifying the irreducible representations for a general
group is probably hopeless, the braid group B
The combined work of E. Formanek, W. Lee, I. Sysoeva and
M. Vazirani has classified the irreducible complex representations
of B |