The Structure of Two-parabolic Space

Geometry & Topology
Event time: 
Thursday, November 9, 2006 - 11:30am to Wednesday, November 8, 2006 - 7:00pm
431 DL
Jane Gilman
Speaker affiliation: 
Rutgers Newark and Yale
Event description: 

Every non-elementary subgroup of $PSL(2,\mathbf{C})$
generated by two parabolic transformations is determined up to
conjugacy by a non-zero complex number, $\lambda$ and each
$\lambda\neq 0$ determines a two-parabolic generator group. I will
discuss a structure theorem for the space of all $\lambda$, that is,
for the full representation space (modulo conjugacy) of
non-elementary two-parabolic generator groups, including both the
discrete and non-discrete groups. The discrete groups include, of
course, Kleinian groups both manifold and orbifold groups.