Strong Spectral Gap for Geometrically Finite Hyperbolic Manifolds

In this talk I will describe new results establishing the existence of a strong spectral gap for  geometrically finite, n dimensional, hyperbolic manifold with critical exponent greater than (n−1)/2. This settles a conjecture of Mohammadi and Oh from 2015, and is based on joint work with Osama Kahlil and Pratyush Sarkar.