Return to Colloquia & Seminar listing
On Cusp Finiteness for higher dimensional Kleinian groups with critical exponent less than one
Student-Run Geometry/Topology| Speaker: | Dustin Mayeda, UC Davis |
| Location: | 3106 MSB |
| Start time: | Tue, Mar 15 2011, 12:10PM |
Description
Dustin Mayeda/University of California, Davis
In the late 1970's Sullivan proved that a finitely generated three
dimensional Kleinian group has only finitely many cusps. The straight
forward generalization of Sullivan's theorem to higher dimensions does not
hold as shown by examples of Kapovich and Potyagailo. I will discuss a
condition on higher dimensional Kleinian groups which implies that they
have finitely many cusps.