Mathematics Colloquium - Tye Lidman

Speaker: 
Tye Lidman, North Carolina State University
Topic: 
“Knots, diagrams, and three-manifold topology”

Abstract:
Usually, when we draw a knotted loop in space, we draw a projection to the plane and study the over and under crossings. It is natural to ask how structural properties of the knot are reflected in the diagrammatics. For example, which of the crossings are “topologically intrinsic” to the knot, and how does changing one crossing from over to under alter the knot? We will discuss how to extract this information using the topology of the three-manifolds.

Event Date: 
April 19, 2018 - 3:30pm to 5:00pm
Location: 
213 MLH
Host: 
Keiko Kawamuro
Calendar Category: 
Colloquium