Discrete moving frames have been proven useful for the study of discrete integrable systems, which arise as the analogues of curvature flows for polygon evolutions in homogeneous spaces. In this talk I will first introduce the concept of discrete moving frame and show that the relationship between a flow and its induced curvature flow is in terms of a syzygy operator depending only on the curvature invariants. I will briefly analyse the condition for discrete curve evolutions and curvature invariants to commute in terms of a discrete moving frame and state when integrability lifts from the curvature evolutions to the curve evolutions. Finally, I will exhibit a very simple example in order to illustrate the theory.
Details about the programme of seminars organised by SMSAS postgraduate research students for SMSAS postgraduate research students.