Strict domination and 3-dimensional hyperbolic manifolds
Time and place
1 PM on Thursday, May 5th, 2016; NAC 6/114
Chris Leininger (University of Illinois Urbana-Champaign)
Abstract
A strict domination between two closed hyperbolic manifolds is a c-Lipschitz map with c < 1, which has nonzero degree. Through the work of Gueritaud-Kassel and Tholozan, this has some interesting connections to locally homogeneous spaces and volumes. Strict dominations arise quite naturally in dimension two from holomorphic branched coverings, thanks to the Schwarz-Pick Theorem. After discussing this motivation, I will describe work with Grant Lakeland, building on a example suggested by Ian Agol, providing a general construction of strict domination in dimension 3.
