报告题目：Geometric ideal triangulation and the hyperbolization of a class of compact 3-manifolds
报告人：冯可 电子科技大学
报告时间：2024年6月3日上午10点
报告地点：教2-327
主办单位：350VIP浦京集团350VIP浦京集团
邀请人：胡光明
报告内容：Gluing ideal tetrahedra plays a crucial role in the construction of hyperbolic 3-manifolds. While, the existence of a geometric ideal triangulation is still open. In this talk, using combinatorial Ricci flow methods, we show: 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. The talk is based on joint work with Huabin Ge and Bobo Hua.
报告人简介：冯可，2016年博士毕业于南京大学，2017-2020年北京大学数学科学学院博士后，现为电子科技大学数学科学学院副教授, 主要研究领域为几何分析和几何拓扑，主要工作成果涉及“Thurston理想剖分”猜想等流形几何化问题，相关成果发表在 Geom.&Topol.， Adv. Math., IMRN 等数学期刊上。