EVENT DETAILS AND ABSTRACT

Title: The Zero-in-the-Spectrum Question
Speaker: Professor John Lott
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

The zero-in-the-spectrum question is whether the spectrum of the differential-form Laplacian, on a complete Riemannian manifold, always contains zero in some degree. I will explain the question, give its relationships to combinatorial group theory (deficiencies of groups) and topology (Euler characteristics of 4-manifolds), and give partial results toward an answer.