Research-Notions Related to Negativity on Kaehler Manifolds and Geometric Applications

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Notions Related to Negativity on Kaehler Manifolds and Geometric Applications

Speaker: Tao ZHENG (Beijing Institute of Technology)
Time: Dec 9, 2022, 10:00-11:00
Location: Tencent Meeting ID 985937734

Abstract

A recent theorem of Wu-Yau, Tosatti-Yang, and Diverio-Trapani states that a compact Kaehler manifold admitting a Kaehler metric of quasi-negative holomorphic sectional curvature has an ample canonical line bundle, confirming a conjecture of Yau. In this talk, we shall introduce a natural notion of almost quasi-negative holomorphic sectional curvature and extend this theorem to compact Kaehler manifolds of almost quasi-negative holomorphic sectional curvature.