A Symplectic Reduction by Stages Approach to Gravitating Vortices Problem
报告专家：姚成建（上海科技大学）
报告时间：2024年4月19日 下午14:30-15:30
报告地点：国家天元数学西南中心516
课程介绍：Abstract: 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 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-Prada, Garcia-Fernandez and Pingali.
专家简介：姚成建，上海科技大学助理教授，本科毕业于中国科学技术大学，后在纽约石溪大学获得博士学位。主要研究方向是流形上各种类型的典则几何结构。相关成果发表在Duke Math. J.、Advances in Mathematics、Mathematische Annalen等国际知名杂志上。
邀请人：胡京辰
