Title: Idempotents in a quandle ring and its applications
Speaker: Dipali Swain
Date/Time/Location: Friday, March 3rd at 1:00pm, CMC 109
Abstract: For a quandle, its associated quandle ring is a very interesting structure. Unlike Groups, Quandle is a non-associative algebra, binary operation of which imitates the three Reidemeister Moves found in Knot theory. When we associate a ring to such an algebraic structure, the most naturally occurring object is an idempotent. We study this object and investigate if such a collection of objects itself forms a quandle and hence try to create an invariance of knots/links. In this talk, I will give a brief introduction of quandles and an associated quandle ring. I will also talk about some popular knot invariants that arise from this particular structure.