Event time:

Thursday, November 9, 2006 - 11:30am to Wednesday, November 8, 2006 - 7:00pm

Location:

431 DL

Speaker:

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.