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On Cusp Finiteness for higher dimensional Kleinian groups with critical exponent less than one
Student-Run Geometry/Topology Seminar| Speaker: | Dustin Mayeda, UC Davis |
| Location: | 3106 MSB |
| Start time: | Tue, Mar 15 2011, 12:10PM |
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.