Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Construction of countable coding for the geodesic flow on geometrically finite hyperbolic manifolds with cusps.
Abstract: Let $Gamma$ be a geometrically finite subgroup of $SO(n,1)$ with cusps. I will explain the construction of a countable coding of the geodesic flow on the unit tangent bundle $T^1(Gamma\ H^n)$. The problem can first be reduced to coding the dynamics on the limit set on the boundary. I will then explain a way to obtain a coding on the limit set and how to verify that this coding has a desired exponential tail property.