Columbia Mathematics Department Colloquium


 L^2-invariants and
their applications to

topology, geometry and group theory


Wolfgang Lueck 




We start with discussing some easy to understand prominent conjectures
due to Kaplanski, Hopf, and others and some interesting results about
groups, Euler characteristics, K-theory and volumes of hyperbolic
3-manifolds, which on the first glance do not seem to be connected to
L^2-invariants. Then we will introduce L^2-invariants and explain the
relationship, thus illustrating the power of L^2-invariants. If time
allows we will survey further applications.


Wednesday, Oct. 23, 5:00 - 6:00 p.m.
Mathematics 520
Tea will be served at 4:30 p.m.