Integrable vortex tubes in three dimensions
- Date: Wednesday 8 February 2017, 15:00 – 16:00
- Location: Coach House
- Type: Seminars, Applied Mathematics
- Cost: Free
Bernd Schroers, Heriot-Watt University. Algebra, Geometry and Integrable Systems colloquium; Geometry seminar.
In this talk I will explain how one can combine a rather wide range of ideas and results from the literature - the work of Loss and Yau on zero-modes of a magnetic 3d Dirac operator, a dimensional reduction of the Seiberg-Witten equations, integrable vortex equations in 2d - to obtain linked vortex tubes as exact solutions of a spinorial vortex equation in 3d. There is a new, Lorentzian version of this story which I will sketch as well. This talk is based on joint work with my student Calum Ross.
Bernd Schroers, Heriot-Watt University