题目: Singularities of Hermitian-Yang-Mills connections and the Harder-Narasihman-Seshadri filtration
报告人：Xuemiao Chen (Stony Brook University)
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.