We discuss the following rigidity results:

1) A pseudo-Anosov flow in a Seifert fibered manifold is up

to finite covers topologically conjugate to a geodesic flow;

2) A pseudo-Anosov flow in a solv manifold is topologically

conjugate to a suspension Anosov flow. The proofs use

the structure of the fundamental groups in these

manifolds and the topological theory of pseudo-Anosov flows.

If there is time we also describe the interaction of a

pseudo-Anosov flow with possible Seifert fibered pieces in the

torus decomposition: if the fiber is associated to a periodic

orbit of the flow, we produce a standard form for the flow

in the piece using Birkhoff annuli. We also discuss a large

new family of examples of pseudo-Anosov flows in

graph manifolds. This is joint work with Thierry Barbot.

# Pseudo-Anosov flows in toroidal 3-manifolds

Event time:

Tuesday, January 18, 2011 - 11:30am to Monday, January 17, 2011 - 7:00pm

Location:

431 DL

Speaker:

Sergio Fenley

Speaker affiliation:

Florida State University and Princeton University

Event description: