华罗庚青年数学论坛

华罗庚青年数学论坛报告:A decomposition theorem for projective manifolds with nef anticanonical bundle

发布时间:2019-08-23

中科院数学与系统科学研究院

数学研究所

华罗庚数学重点实验室

华罗庚青年数学论坛报告

报告人Dr.Junyan CaoSorbonne Université

A decomposition theorem for projective manifolds with nef anticanonical bundle

综合报告 2019.08.26(星期一),10:45-11:45

学术报告 2019.08.27(星期二),09:30-10:3014:45-15:45

点:数学院晨兴110

Abstract : Let X be a projective manifold with numerically effective anticanonical bundle. By studying the Albanese map and the MRC fibration, we prove that its universal cover splits as \widetilde{X} =C^n \times Y \times Z, where Y is a projective manifold of trivial first Chern class and Z is rationally connected. It is a joint work with Andreas H?ring. If the time is permitted, we explain also its generalization to the klt pair case, a recent joint work with Shin-Ichi Matsumura.


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