Kaehler-Yang-Mills equations and gravitating vortices
Student No.:50
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
Starting Date:2017-3-6
Ending Date:2017-3-6




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).