中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人：Professor Yuxin Ge(Département de Mathématiques, Université Paris Est-Créteil Val de Marne)
题 目：Generalized Ginzburg-Landau Equations in high dimensions
时 间：07.08(星期三), 16:00--17:00
地 点：数学院南楼 902
摘 要:
In this talk, we present some results on the critical points to the generalized Ginzburg-Landau equations in dimensions n≥ 3 which satisfy a suitable energy bound, but are not necessarily energy-minimizers. When the parameter in the equations tend to zero, such solutions are shown to converge to singular n-harmonic maps into spheres which are conformally invariant, and the convergence is strong away from a finite set consisting 1) of the infinite energy singularities of the limiting map, and 2) of points where bubbling off of finite energy n-harmonic maps takes place. The latter case is specific to dimensions greater than 2.
