## University of Sydney Algebra Seminar

# Stephan Tillman (University of Queensland)

## Friday 9th April, 12.05-12.55pm, Carslaw 175

### Volume of representations

I describe a volume function defined on the set of representations of the fundamental group of an n-dimensional manifold into the group of isometries of hyperbolic n-space. This function has humour: its definition is somewhat technical and messy, but many of its properties and applications are elegant and easy to state. This talk explores some of the properties and applications and is largely based on joint work with Steve Boyer (UQAM) and joint work with Feng Luo (Rutgers).