Title: Tangent cones of admissible Hermitian-Yang-Mills connections
Abstract: Admissible Hermitian-Yang-Mills(HYM) connections are singular HYM connections with natural geometric bounds. In higher dimensional gauge theory, they naturally appear on the boundary of the moduli space of Hermitian-Yang-Mills connections over Kaehler manifolds. A fundamental problem was to study the uniqueness of the tangent cones of admissible HYM connections. I will explain joint work with Song Sun which confirms the uniqueness by showing that the tangent cones are actually algebraic invariants of the underlying reflexive sheaf.
