报告人: 林爱津 （国防科技大学）

时  间: 2018年6月23日  10:00—11:00

地  点: 理科楼 LD202

摘  要:The moduli space of semistable holomorphic vector bundles over a compact Riemann surface is a well-studied object in algebraic geometry. The seminal paper of Atiyah and Bott introduced a new differential geometry method for computing the cohomology of this space: the equivariant Morse theory of the Yang-Mills functional. In the case where the rank and degree of the bundle are coprime, currently there is a complete description of the cohomology of this moduli space. Recently, Wilkin developed an equivariant Morse theory on the (singular) space of Higgs bundles and successfully computed the equivariant Betti numbers of the space of semistable rank two degree zero Higgs bundles over a compact Riemann surface. In this talk we will review the equivariant Morse theory of the Yang-Mills functional introduced by Atiyah and Bott and its generalization developed by Wilkin in the case of Higgs bundles. Then we will discuss related problems, especially our work on equivariant Morse theory of the Yang-Mills-Higgs functional.    

报告人简介: 林爱津博士，本科02级毕业于太阳成集团，博士毕业于北京大学数学系。现就职于长沙国防科技大学太阳成集团tyc539。目前的研究兴趣集中于微分几何与数学物理。

公司联系人: 周恒宇

欢迎广大师生积极参与！