Abstract: By establishing a Bochner-type result on compact Kähler manifolds with nonnegative holomorphic sectional curvature (HSC), we proved that any nontrivial holomorphic p-form induces a decomposition of the tangent bundle, with one component being flat. In this talk, we will explain why this result is crucial for the development of structure theorems of nonnegative HSC. As a corollary, we generalized Yau's conjecture to the quasi-positive case. Additionally, we classified all non-projective Kähler 3-folds with nonnegative HSC, which must be either a 3-torus or a P^1-bundle over a 2-torus. This is joint work with Professor Xi Zhang.

Biography: Shiyu Zhang is currently a fifth-year PhD student at the University of Science and Technology of China, under the supervision of Professor Xi Zhang. His research focuses primarily on complex differential geometry.

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