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 , the inverse limit of the set of all

finite sheeted covering spaces over yields a compact topological

space called a solenoid that can be thought of as a

pro-finite version of the universal cover of . While such an

object can in general be quite complicated, I will show in this talk

that if is a compact aspherical 3-manifold then 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.

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