EVENT DETAILS AND ABSTRACT

Title: Bordism of L^2-acyclic manifolds
Speaker: Jim Davis
Speaker Info: Indiana University - Bloomington
Brief Description:
Special Note:
Abstract:

A manifold is L^2-acyclic if its L^2-Betti numbers vanish. One can ask when an L^2-acyclic manifold is a boundary of an L^2-acyclic manifold with the same fundamental group? We develop the algebraic topology to analyze when a manifold is L^2-acyclic, the geometric topology to analyze when such a manifold is a boundary of an L^2-acyclic manifold, and some of the algebra to evaluate the resulting obstructions in the L-groups (= Witt groups) of quadratic forms.

This is joint work with Sylvain Cappell and Shmuel Weinberger.