报告题目：Vassiliev invariants for virtual knotoids
报告人：李风玲
报告人简介：李风玲，大连理工大学数学科学学院教授，博士生导师。博士毕业于哈尔滨工业大学。主要研究方向为低维流形上的几何与拓扑，曾主持国家自然科学基金项目，已发表研究论文二十余篇。
报告内容简介：In this talk, we introduce three invariants of virtual knotoids. Two of them are smoothing invariants $\mathcal{F}$ and $\mathcal{L}$ which take values in a free $\mathbb Z$-module generated by non-oriented flat virtual knotoids. We prove that $\mathcal{F}$ and $\mathcal{L}$ are both Vassiliev invariants of order one. Moreover we construct a universal Vassiliev invariant $\mathcal{G}$ of order one of virtual knotoids. We demonstrate that $\mathcal{G}$ is stronger than $\mathcal{F}$ and $\mathcal{L}$. To prove this result, we extend the singular based matrix invariant for singular virtual strings introduced by Turaev and Henrich to singular virtual open strings corresponding to singular flat virtual knotoids with one singular crossing. This is based on joint work with Siqi Ding, Xiaobo Jin, Fengchun Lei and Andrei Vesnin.
报告时间：2025年11月30日14:00
报告地点：实训楼109
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