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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: Integrability of vortex-like solitons

Presented by Felipe Contatto, Cambridge

25 January 2017 13:00 in CM221

This talk will have two parts. First, I will present a modified version of the Ginzburg-Landau energy functional admitting static solitons and determine all the Painlevé integrable cases of its Bogomolny equations of a given class of models. These solitons can be interpreted as the usual Abelian-Higgs vortices on surfaces of non-constant curvature with conical singularity. In the second part I will introduce a list of 5 different types of vortices studied in the literature and show how they can be derived as symmetry reductions of self-dual Yang-Mills equations, which will prove their integrability on suitable backgrounds.

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