Geometric Analysis and Topology Seminar

Parabolicity of Leaves

Speaker: Mario Bonk, UCLA

Location: Warren Weaver Hall 1314

Date: Wednesday, January 25, 2017, 11 a.m.


Certain dynamical systems give rise to foliations where the leaves are quasi-isometric to open simply connected surfaces. The question arises whether these leaves are parabolic or hyperbolic (equivalent to recurrence or transience of a random walk). This is related, for example, to Cannon's conjecture in geometric group theory or to Thurston's characterization of postcritically-finite rational maps. I will discuss this in my talk and also mention some open problems in the area.