Date:
Thu, 05/12/202410:00-11:00
Location:
Ross 70
Groups and dynamics seminar
Time: Thursday, 5/12, 10AM
Place: Ross 70
Speaker: Tali Pinsky (Technion)
Title: Hyperbolicity of orbits in Anosov flows.
Abstract: A periodic orbit of the geodesic flow on a hyperbolic surface can be seen as a knot in the unit tangent bundle to that surface. It is a classical result that if the orbit is filling, i.e. it intersects any essential closed curve on the surface, its complement is a hyperbolic 3-manifold. We will explain the proof for this, and show that in fact a much more general result holds; A filling closed orbit of any Anosov flow with orientable foliations has a hyperbolic complement. Filling in this context would mean the orbit intersects any essential torus.
Time: Thursday, 5/12, 10AM
Place: Ross 70
Speaker: Tali Pinsky (Technion)
Title: Hyperbolicity of orbits in Anosov flows.
Abstract: A periodic orbit of the geodesic flow on a hyperbolic surface can be seen as a knot in the unit tangent bundle to that surface. It is a classical result that if the orbit is filling, i.e. it intersects any essential closed curve on the surface, its complement is a hyperbolic 3-manifold. We will explain the proof for this, and show that in fact a much more general result holds; A filling closed orbit of any Anosov flow with orientable foliations has a hyperbolic complement. Filling in this context would mean the orbit intersects any essential torus.