Number Theory Seminar: Lior Silberman (UBC)
- Date: 10/21/2010
Lecturer(s):
Lior Silberman (UBC)
Location:
University of British Columbia
Topic:
A uniform spectral gap for congruence covers of arithmetic hyperbolic manifolds
Description:
I will describe work with Dubi Kelmer on the first Laplace eigenvalue in towers of manifolds covered by real or complex hyperbolic space. All congruence quotients in a given dimension have a uniform spectral gap; we show how to deduce from this a uniform spectral gap for the family of congruence covers of a fixed arithmetic (non-congruence) manifold.
Schedule:
4:10pm-5:00pm, WMAX 216