In dimension 3, we still do not know the optimal Margulis constant epsilon_3. Part of the problem is that while the topology is simple, the geometry of epsilon-thin tubes can be quite complicated. I will describe some joint work in progress with Jessica Purcell and Saul Schleimer, which can help give quantitative control on the Margulis constant.

### Geometry-Topology Seminar

Tuesday, April 17, 2018 - 4:30pm

#### David Futer

Temple University

In dimension 3, we still do not know the optimal Margulis constant epsilon_3. Part of the problem is that while the topology is simple, the geometry of epsilon-thin tubes can be quite complicated. I will describe some joint work in progress with Jessica Purcell and Saul Schleimer, which can help give quantitative control on the Margulis constant.