Exponential mixing of the geodesic flow on geometrically finite hyperbolic manifolds

Group Actions and Dynamics
Event time: 
Monday, February 10, 2020 - 4:00pm
DL 431
Sam Edwards
Speaker affiliation: 
Event description: 

We will discuss joint work with Hee Oh in which we establish exponential mixing of the geodesic flow for all geometrically finite hyperbolic (d+1)-manifolds with critical exponent greater than d/2. Key ingredients of our proof are the spectral gap of the Laplace operator on the manifold due to Lax-Phillips, and a careful study of the asymptotic behavior of matrix coefficients of complementary series representations of the special orthogonal groups SO(d+1,1).