Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | Positivity notions in complex differential and algebraic geometry |
| Speaker: | Xiaokui Yang (MCM) |
| Time: | 2018-5-9, 9:30-11:00 |
| Place: | N818 |
| Abstract: | In this presentation, we will describe the relationship between various positivity notions in complex differential geometry and complex algebraic geometry. We derive several new vanishing theorems for partially positive vector bundles. As applications, we characterize uniruled and rationally connected projective manifolds by using partially positive curvature tensors. In particular, we confirm a conjecture of Yau that a compact Kahler manifold with positive holomorphic sectional curvature is projective algebraic and rationally connected. |
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