学术报告

On the deformation of hyperbolic ball packings

发布人：发布时间： 2019-11-29

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**题目：**On the deformation of hyperbolic ball packings

**报告人：**葛化彬 副教授（中国人民大学）

**时间：**2019年12月6日 10:00-12:00

**地点：**蒙民伟楼1105

**摘要：**In this talk, we will show some existence results for the 3-dim prescribed discrete curvature problems.

For a triangulation of a 3-manifold, we prove that if the number of tetrahedra incident to each vertex is at least 23, then there exist ball packings with vanishing discrete scalar curvature, i.e. the solid angle at each vertex is equal to 4{\pi}. In this case, if such a ball packing is real, then the (extended) combinatorial Yamabe flow converges exponentially fast to that ball packing. Moreover, we prove that there is no real or virtual ball packing with vanishing discrete scaler curvature if the number of tetrahedra incident to each vertex is at most 22. This is joint work with Bobo Hua.

**邀请人：**石亚龙