Some Progress in Non-Abelian Chern-Simons-Higgs Vortex Equations

主题:   Some Progress in Non-Abelian Chern-Simons-Higgs Vortex Equations主讲人:   韩小森地点:   松江校区2号学院楼331报告厅时间:   2016-11-16 15:00:00组织单位:   非线性科学研究所

主讲人简介:

韩小森,河南大学数学与统计学院副教授、硕士生导师。2009年6月在东南大学获得博士学位。2011年4月起任河南大学副教授。先后在纽约大学、台湾大学、罗马第二大学做访问学者。研究方向为场论中出现的非线性偏微分方程与非线性分析。研究成果主要发表在Communications in Mathematical Physics,Proceedings of the Royal Society of London A,Transactions of the American Mathematical Society,Calculus of Variations and Partial Differential Equations,Journal of Functional Analysis,Journal of Differential Equations,Nuclear Physics B,Journal of High Energy Physics等国际学术刊物上。

内容摘要:

In this talk some recent progress in non-Abelian Chern--Simons--Higgs vortex equations will be presented. Firstly, we will review some elliptic pdes with related results orginated from classical Abelian Higgs and Chern--Simons--Higgs models. Secondly, we report an existence theorem concerning the existence of doubly periodic solutions for the non-abelian Chern--Simons--Higgs vortex equations with a sketch of proof. At last, we mention some related problems and open questions.

讲座主持:秦玉明

讲座语言:英文

撰写:秦玉明信息员:唐晓亮编辑:孙庆华