Some progress on geometric ideal triangulation

Speaker: Ke Feng from University of Electronic Science and Technology of China

Time: 5/16 Friday 4:30 pm- 5:30 pm
Location: Simis 1510

Abstract:
Gluing ideal tetrahedra plays a crucial role in the construction of hyperbolic 3-manifolds. It is still not known that whether a hyperbolic 3-manifold admits a geometric ideal triangulation. In this talk, I will show some progress to hyperbolize and further obtain geometric triangulations of 3-manifolds. I will show the rigidity of hyperbolic polyhedral metrics on 3-manifolds, and the connections between 3D-combinatorial Ricci flows and Thurston’s geometric ideal triangulations, which is a joint work with Huabin Ge. Further, I will show a new existence result of the geometric ideal triangulation which is a joint work with Huabin Ge and Yunpeng Meng.