Seminar September 20 – Will Cavendish

On September 20, the geometry-topology seminar hosts Will Cavendish of Princeton University. He will speak about:

Title: Finite sheeted covers of 3-manifolds and the cohomology of solenoids

Abstract: Given a compact manifold M, the inverse limit of the set of all
finite sheeted covering spaces over M yields a compact topological
space \widehat{M} called a solenoid that can be thought of as a
pro-finite version of the universal cover of M. While such an
object can in general be quite complicated, I will show in this talk
that if M is a compact aspherical 3-manifold then \widehat{M} has the
Cech cohomology of a disk. I will then talk about the relevance of
this result to the study of finite sheeted covering spaces and lifting
problems in 3-manifold theory.

This entry was posted in seminar announcement. Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s