学术报告

RC-Positivity and Yau's Rational Connectedness Conjecture

题目:RC-Positivity and Yau's Rational Connectedness Conjecture
报告人:杨晓奎 教授(中国科学院 数学研究所)
地点:致远楼101室
时间:2018年5月25日 10:40-11:40
摘要:In this presentation, we will describe the relationship between various positivity notions in differential geometry and algebraic geometry. We shall also introduce a new concept called "RC-positivity" in differential geometry  and use it to characterize uniruled and rationally connected
projective manifolds. 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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