|Kaehler-Yang-Mills equations and gravitating vortices|
|Time：||Mon 13:30-14:30, 2017-03-06|
|Instructor：||Oscar Garcia-Prada [ICMAT, Madrid]|
|Place：||Conference Room 3, Floor 2,Jin Chun Yuan West Building|
In this talk we first introduce the Kaehler-Yang-Mills equations on a holomorphic bundle over a compact complex manifold. They emerge from a natural extension of the theories for constant scalar curvature Kaehler metrics and Hermitian-Yang-Mills connections. We construct solutions to these equations by applying dimensional reduction methods to the product of the complex projective line with a compact Riemann surface. The resulting equations, that we call gravitating vortex equations, describe abelian vortices on the Riemann surface coupled to a metric (joint work with L. Alvarez-Consul and M. Garcia-Fernandez).