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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 p.m.sutcliffe@durham.ac.uk for more information