Michael Lipnowski (McGill University)

Title: Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds.

Abstract:

I’ll describe a relationship between the smallest 1-form Laplacian eigenvalue λ _1* and surface complexity on hyperbolic manifolds.

Using this relationship, we’ll discuss ‘surface theft’, a prospect for proving good lower bounds on λ _1*(M) for big congruence arithmetic hyperbolic 3-manifolds M.

This is joint work with Mark Stern.