Finiteness of small eigenvalues of geometrically finite manifolds

Group Actions and Dynamics
Event time: 
Tuesday, September 3, 2019 - 4:15pm
Jialun Li
Speaker affiliation: 
University of Zurich
Event description: 

Let M be a geometrically finite real rank one locally symmetric manifolds. We will take about the spectrum of the Laplace operator on M. By using the Lax-Philips inequality of the energy form, we will prove that the spectrum is finite in a critical interval which is given by the volume entropy.