中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：Jie Tu (Zhejiang University)
题 目：The Deformation of Pairs (X,E) Lifting from Base Family
时 间：2017.07.01（星期六），15 :00-16 :00
地 点：数学院南楼N210室
摘 要：In this talk, I will introduce the analytic deformation theory of pairs (X,E), where X is a compact complex manifold and E is holomorphic vector bundle over X. The splitting of holomorphic cotangent bundle via any integrable connection de-composes the Beltrami differential of pairs into the horizontal part and the vertical part. The horizontal part is the Beltrami differential of base family {X_t}. When the vertical part is vanishing under the decomposition by a Nakano semi-positive Chern connection ∇, i.e. {(Xt,Et)} is lifting from base family {X_t} via ∇, we get a infinitesimal extension of d\bar-closed bundle valued (n, q)-form by the recursive method. This is a joint work with Prof. Kefeng Liu.