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8-22吴文俊数学重点实验室微分几何系列报告【Xuemiao Chen】

题目: Singularities of Hermitian-Yang-Mills connections and the Harder-Narasihman-Seshadri filtration 


报告人:Xuemiao Chen (Stony Brook University)


时间:      8月22日(周二)上午10:30-11:30


地点:   五教5507


摘要: The Donaldson-Uhlenbeck-Yau theorem proves the existence of Hermitian-Yang-Mills connections on a stable holomorphic vector bundle over a compact Kahler manifold. This has been generalized to the case of stable reflexive sheaves by Bando and Siu using admissible Hermitian-Yang-Mills connections with possible singularities. We study tangent cones of such Hermitian-Yang-Mills connections at an isolated singularity using algebraic geometry of the underlying reflexive sheaf. This is a joint work with Song Sun. 


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