Topology Seminar

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

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.

Date: Monday, March 27, 2017
Time: 4:10pm
Where: Lunt 104
Contact Person: John Francis
Contact email: jnkf@math.northwestern.edu
Contact Phone: 847-491-5544
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