
School of Mathematics and Statistics
Ben Martin
University of Sydney
Counting conjugacy classes of representations
of a homology 3sphere group.
Friday 30th April, 121pm, Carslaw 375.
A representation variety is a space of representations from a
finitely gen erated group to a Lie group or algebraic group. The
theory of representation va rieties combines ideas from group
theory, algebraic geometry, differential geome try and Lie theory.
I will discuss a construction which I hope will eventually produce
new numerical invariants for a class of compact 3manifolds.
Roughly speaking, the idea is to count the number of conjugacy
classes of representations of the fundamental group of the manifold.
