Differential Geometry Seminar: Zheng Huang -- Minimal Foliations on Fibered Hyperbolic Three-Manifolds

Speaker: Zheng (Zeno) Huang (CUNY)

http://www.math.csi.cuny.edu/~huang/research.html

Time: Monday, 4 June, 12NOON--1PM

Room: Carslaw 829 (AGR)

Title: Minimal Foliations on Fibered Hyperbolic Three-Manifolds

Abstract: A landmark theorem of Thurston says a closed three-manifold 
(surface fibering over the circle) is hyperbolic if the monodromy is 
pseudo-Anosov. Hass-Thurston asked whether such a fibered hyperbolic 
three-manifolds admits a minimal fiberation. In joint work with B. Wang, 
and assistance from computer programs, we proved there exist many 
fibered hyperbolic three-manifolds that do not admit a C^2 minimal 
fiberation. Further open questions will also be discussed.