We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Topological Solitons Seminar: Hyperbolic vortices

Presented by Dr Steffen Krusch, University of Kent

17 March 2010 14:15 in CM221

The dynamics of topological solitons can often be understood in terms of the geometry of the "moduli space" - the space of static minimal energy solutions. For hyperbolic vortices, this moduli space is known explicitly. The kinetic energy gives rise to a metric on the moduli space of N vortices. This metric is not known in general. However, for special submanifolds when n vortices lie on the vertices of a regular polygon and m vortices lie at its centre Martin Speight and I recently calculated this metric. I will describe some interesting geometric properties of these submanifolds. This allows us to calculate the geodesic flow on the moduli space quite explicitly. Finally, I describe a novel type of dynamics recently proposed by Collie and Tong.

Contact for more information