Knots, Skein models and Physics
报告题目(Title):Knots, Skein models and Physics
报告人(Speaker):Shengmao Zhu(Zhejiang International Studies University)
地点(Place):腾讯会议 ID:781612032
时间(Time):2020年10月23日(星期五) 16:00-17:00
邀请人(Inviter):程志云
报告摘要
In this talk, we first recall some basics of knots (links) and their invariants. Then we introduce the HOMFLYPT skein models of 3-manifolds. We give the definition and some properties of the colored HOMFLYPT invariants. Next, from the view of string dualities in Physics, knot invariants are superisingly related to many other branches of mathematics, such as Gromov-Witten invariants, Hilbert schemes, quiver varieties, etc. Those connections largely extend the researches of knot theory. Finally, we will introduce some of our related works in this field.