• 天元讲堂（11.30）：东北华东地区拓扑学协作会议学术报告
• 浏览量：10 发布人： 发布时间：2019-11-29
• 学术报告1

题目：Filling foliations and an application in dynamical system

报告人：余斌（同济大学）

时间：20191130日（星期六）09:5010:50

地点：苏州大学本部精正楼306

摘要：In this talk, we will introduce a combinatorial surgery (due to Thurston, Ghys, Fried) to build a new taut foliation from an old one when we do Dehn-filling. This surgery is powerful in foliation theory on 3-manifolds. Then we will introduce an application about it: use it as a main ingredient to classify non-transitive Anosov flows on Franks-Williams manifold. This is a joint work with Jiagang Yang.

学术报告 2

题目：超平面构型的和乐李代数

报告人：刘晔（西交利物浦大学）

时间：20191130日（星期六）11:1012:00

地点：苏州大学本部精正楼306

摘要：我们介绍超平面构型的和乐李代数的定义，以及与构型补空间拓扑、组合的关系。并重点研究纤维型构型的和乐李代数的结构，指出其与基本群结构的相似性。后者是与郭威力（北京化工大学）的合作研究。

学术报告 3

题目：来自广义构型空间的辫子

报告人：吕志（复旦大学）

时间：20191130日（星期六）13:3014:30

地点：苏州大学本部精正楼二楼学术报告厅

摘要：结合Artin的经典思想，我们考虑了来自广义构型空间的辫子，如此的辫子与通常的辫子有所区别。我们讨论了如此辫子的群结构，给出了同伦表达；尤其我们定义的轨道辫子的群与orbifold基本群有本质的关联。

学术报告 4

题目：On 3-submanifolds of $S^3$ which admit complete spanning curve systems

报告人：李风玲（大连理工大学）

时间：20191130日（星期六）14:5015:40

地点：苏州大学本部精正楼二楼学术报告厅

摘要：Let $M$ be a compact connected 3-submanifold of the 3-sphere $S^3$ with one boundary component $F$ such that there exists a collection of $n$ pairwise disjoint connected orientable surfaces $\mathcal S=\{S_1,\cdots, S_n\}$ properly embedded in $M$,$\partial{\mathcal S}=\{\partial S_1,\cdots, \partial S_n\}$ is a complete curve system on $F$. We call $\mathcal S$ a complete surface system for $M$, and $\partial \mathcal{S}$ a complete spanning curve system for $M$. In the present paper, we show that the equivalent classes of complete spanning curve systems for $M$ are unique, that is, any complete spanning curve system for $M$ is equivalent to $\partial \mathcal S$. As an application of the result, we show that the image of the natural homomorphism from the mapping class group ${\mathcal M}(M)$ to ${\mathcal M}(F)$ is a subgroup of the handlebody subgroup ${\mathcal H}_n$. This is joint work with Fengchun Lei and Yan Zhao.