Luke Duane-Tessier
The Ohio State University
Title
Detecting symmetries of spherical CR space forms
Abstract
A spherical CR space form is a quotient of the unit sphere S^{2n – 1}, n ≥ 2, by the action of a finite fixed-point-free unitary group. The resultant manifold inherits a CR structure from the sphere. We will discuss some invariants of these manifolds, in particular the spectrum of the Kohn Laplacian and the Szegö kernel, and compare the geometric information retained by each through the lens of the group of smooth CR automorphisms of the underlying space form.
