时间：3月11日 9:30-10:30

地点：东7一层报告厅

报告内容：

The coupled system of Kähler-Yang-Mills equations is introduced as the zero-momentum map equation of the extended gauge group, which naturally extends the usual gauge group and the Hamiltonian diffeomorphism group. A lower dimensional reduction of the system, called the Gravitating Vortex equations, accidentally includes the Einstein-Bogomolnyi equation in mathematical physics as a special case. Based on the moment map interpretation and the symplectic reduction by stages approach, we solve certain existence and uniqueness problems of Gravitating Vortex equations. Part of the work is joint with Alvarez-Consul, Garcia-Fernandez, Garcia-Prada and Pingali.