Topology, geometry and combinatorics of simple orbifolds
- A+
：Prof. Lv Zhi
：2020-12-10 15:00
：腾讯会议APP (线上)
Speaker：Prof. Lv Zhi
Fudan University
Title: Topology, geometry and combinatorics of simple orbifolds
Time：10th, Dec., 2020, 15:00
Location：腾讯会议APP (线上)
会议 ID：498 387 714（无设置会议密码）
Abstract:
In this talk we introduce simple orbifolds, which are a generalization of simple polytopes. We generalize the notions of flag and belt in the setting of simple polytopes into the setting of simple orbifolds. To describe the topology and geometry of a simple orbifold in term of its combinatorics, we focus on simple handlebodies (simply speaking, simple orbifolds which can be obtained from simple polytopes by gluing some disjoint specific codimension-one faces). We obtain the two main results, which can be understood as Combinatorial Sphere Theorem and Combinatorial Flat Torus Theorem on simple handlebodies. As further applications, we obtain that the existence of some curvatures on manifold covers over a simple handlebody can be characterized in terms of the combinatorics of the simple handlebody.
Speaker Introduction：
复旦大学数学科学学院教授、博士生导师，研究兴趣为等变流形的代数拓扑与环面拓扑，轨道构型空间的拓扑与轨道辫子群。主持国家自然科学基金多项，在Math. Ann., Trans AMS, IMRN等杂志上已发表学术论文40余篇。
联系人：朱玉峻
