New contact flows on 3-manifolds

Vortrag von Prof. Dr. Boris Hasselblatt

Datum: 24.05.18  Zeit: 18.10 - 19.00  Raum: Y27H35/36

Foulon-Ding-Geiges-Handel-Thurston surgery on the unit tangent bundle of a hyperbolic surface produces contact 3-flows that are unusual and interesting in several ways. The periodic fiber flow in the unit tangent bundle becomes parabolic or even hyperbolic, and the geodesic flow becomes a nonalgebraic contact Anosov flow with larger orbit growth. Recent work by Bishop, Hughes, Vinhage and Yang promises a quantification of the gap between the Liouville and topological entropies.