学术报告（姚成建 12.13）

As a dimensional reduction of Einstein-Maxwell-Higgs equations to Riemann surface, Einstein-Bogomol’nyi equation provides the simplest model of a cosmic string. Physically, this equation describes a spacetime together with a magnetic field defined by a U(1) connection and a Higgs field defined by a holomorphic section. In this talk, we will discuss the existence of solutions to such equation, illustrating how GIT stability condition would play a role. We will also discuss the two types of limiting behavior of the solutions as the volume tends to the lower bound and infinity respectively