Mathematical sciences seminar: Eight-coloring small covers over the 120-cell



Jiming Ma
Fudan University


Since there is no hyperbolic Dehn filling theorem in higher dimension, it is difficult to construct concrete hyperbolic manifolds in dimension at least four. In this talk, we will construct all eight-coloring small covers over the 120-cell, which give us a set of closed hyperbolic 4-manifolds. This is a joint work with Fangting Zheng.