勷勤数学•专家报告-宋翀

勷勤数学•专家报告


题      目:Improved Kato inequalities and applications


报  告  人:宋翀 教授  (邀请人:魏国新)

                                             厦门大学


时      间:6月26日  14:30-15:30


地     点:数科院东楼401


报告人简介:

       厦门大学数学科学学院副院长,教授,博士生导师,国家级高层次青年人才。研究领域为几何分析,特别是在哈密尔顿型几何流,调和映照和杨-米尔斯-希格斯场的爆破分析中取得原创性研究成果,论文发表在J. Reine Angew. Math., J. Diff. Geom., Math. Ann., JFA, IMRN, CVPDE等期刊上。



摘      要:

      It is well-known that, in many geometric problems, the constant in the classical Kato inequality can be improved, which leads to much stronger decay esimates and has many applications. We will discuss about a new version of improved Kato inequality and its applications in harmonic maps and Yang-Mills-Higgs fields.