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

Sponsor: 

pims