报告题目：Generalized Kauffman-Harary Conjecture
报 告 人：郭慧正 乔治华盛顿大学
报告时间：2023年6月25日 20:00-21:00
报告地点：数学楼3楼第1研讨室
校内联系人：王骁 wangxiaotop@jlu.edu.cn
报告摘要：For a reduced alternating diagram of a knot with a prime determinant $p,$ the Kauffman-Harary conjecture states that every non-trivial Fox $p$-coloring of the knot assigns different colors to its arcs. In this paper, we prove a generalization of the conjecture stated nineteen years ago by Asaeda, Przytycki, and Sikora: for every pair of distinct arcs in the reduced alternating diagram of a prime link with determinant $\delta,$ there exists a Fox $\delta$-coloring that distinguishes them.
报告人简介：郭慧正，本科毕业于伊利诺伊大学香槟分校，现就读于乔治华盛顿大学。从事低维拓扑，纽结理论方向的研究。
