19/12/2002, 13:30 — 14:30 — Room P3.10, Mathematics Building
João Baptista, Cambridge University
Vortex dynamics on the sphereI will first give a brief overview of the Bogomolny equations for vortices, their moduli space of solutions, and the method of geodesic approximation. In the case of vortices on a sphere of radius this moduli space is , but the geodesic method cannot be directly applied, because the solutions of the Bogomolny equations are not known explicitly. I will then try to show how to circumvent this problem in the limit where is close to .
- J. M. Baptista and N. S. Manton, The dynamics of vortices on near the Bradlow limit, hep-th/0208001.
- T. M. Samols, Vortex Scattering, Commun. Math. Phys. 145, 149 (1992).