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Residual finiteness of fundamental n-quandles of links

组织者

马修·伯菲特 , 李京艳 , Pravin Kumar , 吴杰

演讲者

Neeraj K. Dhanwani

时间

2026年04月16日 15:00 至 16:00

地点

A3-4-301

线上

Zoom 518 868 7656 (BIMSA)

摘要

A quandle is an algebraic system with a binary operation satisfying three axioms that are algebraic formulations of the three Reidemeister moves of planar diagrams of links in 3-space. We start our talk with a definition and some examples of a quandle. In this talk, we will define residual finiteness properties on quandles and discuss their implications. We will prove that the fundamental n-quandle of any link in the 3-sphere is residually finite for each $n \geq 2$. This supplements the recent result on residual finiteness of link quandles and the classification of links whose fundamental n-quandles are finite for some n. If time permits, we also discuss several general results on these finiteness properties and on many families of quandles that admit them.