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Combinatorial Ricci flows and the hyperbolization of a class of compact 3-manifolds

2021-03-29

Speaker: Prof. GE Huabin, Renmin University of China

Venue: Room 200-9, Sir Run Run Shaw Business Administrative Building, Yuquan Campus

Abstract:

Using combinatorial Ricci flow methods, we shall prove the following theorem: Let M be a compact 3-manifold with boundary consisting of surfaces of genus at least 2. If M admits an ideal triangulation with valence at least 10 at all edges, then there exists a unique hyperbolic metric on M with totally geodesic boundary under which the ideal triangulation is geometric. This is based on joint work with Ke Feng and Bobo Hua.